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FORTY-FOURTH ANNUAL LIST OF PAPERS 1, Study notes of Differential Equations

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FORTY-FOURTH ANNUAL LIST OF PAPERS
READ BEFORE THE AMERICAN MATHEMATICAL SOCIETY AND SUBSEQUENTLY
PUBLISHED, INCLUDING REFERENCE TO THE PLACES OF PUBLICATION
Adams, C. R., and Lewy, Hans. On
convergence
in
length.
Read Feb. 23, 1935.
Duke Mathematical Journal, vol. 1, No. 1 (March, 1935), pp. 19-26.
Albert, A. A. A note on the Poincaré
theorem
on impure Riemann
matrices.
Read
March 30, 1934. Annals of Mathematics, (2), vol. 36, No. 1 (Jan., 1935),
pp.
151-156.
On cyclic fields. Read Sept. 7, 1934. Transactions of this Society, vol. 37,
No.
3 (May, 1935), pp. 454-462.
Involutorial simple
algebras
and real Riemann matrices. Read Nov. 30,
1934,
and April 20, 1935. Annals of Mathematics, (2), vol. 36, No. 4 (Oct.,
1935),
pp. 886-964.
Ballantine, J. P. A proof of E. H.
Moore's
equivalence.
Read Aug.
31,
1932. This
Bulletin, vol.
41,
No. 12 (Dec, 1935), pp. 853-856.
Barber, S. F., and Zariski, Oscar.
Reducible exceptional
curves
of
the
first
kind.
Read March 30, 1934. American Journal of Mathematics, vol. 57, No. 1
(Jan., 1935), pp.
119-141.
Basoco, M. A. On a
certain
identity due
to
Hermite. Read Nov. 30,1934. Ameri-
can Mathematical Monthly, vol. 42, No. 5 (May, 1935), pp. 310-314.
Basoco, M. A., and Bell, E. T. Further theta expansions useful in arithmetic.
Read Nov. 30, 1934. American Journal of Mathematics, vol. 57, No. 1
(Jan., 1935), pp. 1-10.
Basye, R. E.
Concerning
two internal properties of plane continua. Read April
20,
1935. This Bulletin, vol.
41,
No. 10 (Oct., 1935), pp. 670-674.
Simply
connected
sets. Read Oct. 28, 1933. Transactions of this Society,
vol.
38, No. 2 (Sept., 1935), pp. 341-356.
Bateman, Harry. A partial differential equation
connected
with
the
functions
of
the parabolic cylinder. Read Dec. 2, 1933. This Bulletin, vol. 41, No. 12
(Dec,
1935), pp. 884-893.
Bell, E. T. Ternary arithmetical identities. Read Oct. 27, 1934. This Bulletin,
vol.
41, No. 2 (Feb., 1935), pp.
85-91.
A revision of
the algebra
of Lucas functions. Read Dec. 1, 1934. Annals of
Mathematics, (2), vol. 36t No. 3 (July, 1935), pp. 733-742.
General relations
between
Bernoulli, Euler, and allied polynomials. Read
Sept. 13, 1935. Transactions of this Society, vol. 38t No. 3 (Nov., 1935),
pp.
493-500.
See Basoco, M. A.
Bell, P.O.
Tetrahedra
associated
with
canonical
expansions f or a
curved
surface.
Read April 6,1935. This Bulletin, vol.
41,
No. 6 (June, 1935), pp. 353-355.
Bernstein, B. A. On finite Boolean
algebras.
Read June 20, 1934. American
Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 733-742.
Bernstein, Felix. Principles of
probability
in the natural
sciences.
Read Dec. 27,
1933.
Journal of Mathematics and Physics, Massachusetts Institute of
Technology, vol. 14, No. 1 (March, 1935), pp. 28-35.
Binney, J. H. An elliptic system of integral equations on
summable
functions.
1
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pf4
pf5
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FORTY-FOURTH ANNUAL LIST OF PAPERS

READ BEFORE THE AMERICAN MATHEMATICAL SOCIETY AND SUBSEQUENTLY PUBLISHED, INCLUDING REFERENCE TO THE PLACES OF PUBLICATION

Adams, C. R., and Lewy, Hans. On convergence in length. Read Feb. 23, 1935. Duke Mathematical Journal, vol. 1, No. 1 (March, 1935), pp. 19-26. Albert, A. A. A note on the Poincaré theorem on impure Riemann matrices. Read March 30, 1934. Annals of Mathematics, (2), vol. 36, No. 1 (Jan., 1935), pp. 151-156. On cyclic fields. Read Sept. 7, 1934. Transactions of this Society, vol. 37, No. 3 (May, 1935), pp. 454-462. Involutorial simple algebras and real Riemann matrices. Read Nov. 30, 1934, and April 20, 1935. Annals of Mathematics, (2), vol. 36, No. 4 (Oct., 1935), pp. 886-964. Ballantine, J. P. A proof of E. H. Moore's equivalence. Read Aug. 31, 1932. This Bulletin, vol. 41, No. 12 (Dec, 1935), pp. 853-856. Barber, S. F., and Zariski, Oscar. Reducible exceptional curves of the first kind. Read March 30, 1934. American Journal of Mathematics, vol. 57, No. 1 (Jan., 1935), pp. 119-141. Basoco, M. A. On a certain identity due to Hermite. Read Nov. 30,1934. Ameri- can Mathematical Monthly, vol. 42, No. 5 (May, 1935), pp. 310-314. Basoco, M. A., and Bell, E. T. Further theta expansions useful in arithmetic. Read Nov. 30, 1934. American Journal of Mathematics, vol. 57, No. 1 (Jan., 1935), pp. 1-10. Basye, R. E. Concerning two internal properties of plane continua. Read April 20, 1935. This Bulletin, vol. 41, No. 10 (Oct., 1935), pp. 670-674. Simply connected sets. Read Oct. 28, 1933. Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 341-356. Bateman, Harry. A partial differential equation connected with the functions of the parabolic cylinder. Read Dec. 2, 1933. This Bulletin, vol. 41, No. 12 (Dec, 1935), pp. 884-893. Bell, E. T. Ternary arithmetical identities. Read Oct. 27, 1934. This Bulletin, vol. 41, No. 2 (Feb., 1935), pp. 85-91. A revision of the algebra of Lucas functions. Read Dec. 1, 1934. Annals of Mathematics, (2), vol. (^36) t No. 3 (July, 1935), pp. 733-742. General relations between Bernoulli, Euler, and allied polynomials. Read Sept. 13, 1935. Transactions of this Society, vol. (^38) t No. 3 (Nov., 1935), pp. 493-500. See Basoco, M. A. Bell, P.O. Tetrahedra associated with canonical expansions f or a curved surface. Read April 6,1935. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 353-355. Bernstein, B. A. On finite Boolean algebras. Read June 20, 1934. American Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 733-742. Bernstein, Felix. Principles of probability in the natural sciences. Read Dec. 27,

  1. Journal of Mathematics and Physics, Massachusetts Institute of Technology, vol. 14, No. 1 (March, 1935), pp. 28-35. Binney, J. H. An elliptic system of integral equations on summable functions.

Read Aug. 31, 1932. Transactions of this Society, vol. 37, No. 2 (March, 1935), pp. 254-265. Birkhoff, Garrett. Orthogonality in linear vector spaces. Read Oct. 27, 1934. Duke Mathematical Journal, vol. 1, No. 2 (June, 1935), pp. 169-172. Combinatorial relations in projective geometries. Read March 30, 1934. Annals of Mathematics, (2), vol. 36, No. 3 (July, 1935), pp. 743-748. Integration of functions with values in a Banach space. Read Sept. 4, 1934. Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 357-378. Abstract linear dependence and lattices. Read April 20, 1935. American Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 800-804. On the structure of abstract algebras. Read Oct. 27, 1934, and Nov. 30,

  1. Proceedings of the Cambridge Philosophical Society, vol. 31, part 4 (Oct., 1935), pp. 433-454. Birkhoff, G. D., and Hestenes, M. R. Natural isoperimetric conditions in the calculus of variations. Read April 20, 1935. Duke Mathematical Journal, vol. 1, No. 2 (June, 1935), pp. 198-286. Black, Amos. Further non-involutorial Cremona space transformations contained in a special linear complex. Read Dec. 27, 1933. This Bulletin, vol. 41, No. 8 (Aug., 1935), pp. 508-514. Blumenthal, L. M. Concerning spherical spaces. Read March 30, 1934. Ameri- can Journal of Mathematics, vol. 57, No. 1 (Jan., 1935), pp. 51-61. Bochner, Salomon. Summation of multiple Fourier series by spherical means. Read April 20, 1935. Proceedings of the National Academy of Sciences, vol. 21, No. 6 (June, 1935), pp. 353-355. Bochner, Salomon, and von Neumann, John. Almost periodic functions in groups. II. Read Dec. 28, 1934. Transactions of this Society, vol. 37, No. 1 (Jan., 1935), pp. 21-50. Bompiani, Enrico. Geometrie Riemanniane di specie superiore. Read June 21,
  2. Memorie délia Classe di Scienze Fisiche Matematiche e Naturali della R. Accademia d'ltalia, vol. 6, No. 8 (Jan., 1935), pp. 269-520. Brahana, H. R. Metabelian groups and trilinear forms. Read April 19, 1935. Duke Mathematical Journal, vol. 1, No. 2 (June, 1935), pp. 185-197. Metabelian groups and pencils of bilinear forms. Read Sept. 4, 1934. American Journal of Mathematics, vol. 57, No. 3 (July, 1935), pp. 645-

—— Note on irreducible guartic congruences. Read April 7, 1934. Transactions of this Society, vol. (^38) } No. 2 (Sept., 1935), pp. 395-400. Brauer, Richard. Über die Kleinsche Theorie der algebraischen Gleichungen. Read Dec. 27, 1933. Mathematische Annalen, vol. 110, No. 4 (Nov., 1934), pp. 473-500. Brown, A. B. Functional dependence. Read Oct. 27, 1934. Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 379-394. On the locus of an analytic equation in the real plane. Read Feb. 23, 1935. This Bulletin, vol. 41, No. 12 (Dec, 1935), pp. 881-884. Brown, A. B., and Halperin, Morris. On certain area-preserving maps. Read March 30, 1934. Annals of Mathematics, (2), vol. 36, No. 4 (Oct., 1935), pp. 833-837.

Cyototomy when e is composite» Read April 20, 1935* Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 187-200. Dix, C. H. Mechanical invariants of the sweeping-out process. Read June 20,

  1. This Bulletin, vol. 41, No. 2 (Feb., 1935), pp. 92-95. Doob, J. L. The ranges of analytic functions. Read Feb. 25, 1933. Annals of Mathematics, (2), vol. 36, No. 1 (Jan., 1935), pp. 117-126. Doob, J. L., and Koopman, B. O. On analytic f unctions with positive imaginary parts. iRead Dec. 27, 1933. This Bulletin, vol. 40, No. 8 (Aug., 1934), pp. 601-605. Dorroh, J. L. Concerning the direct product of algebras. Read March 30, 1934. Annals of Mathematics, (2), vol. 36, No. 4 (Oct., 1935), pp. 882-885. Dorwart, H. L. Concerning certain reducible polynomials. Read Dec. 26, 1933. Duke Mathematical Journal, vol. 1, No. 1 (March, 1935), pp. 70-73. Dresden, Arnold. A program for mathematics. Read Dec. 31, 1934. American Mathematical Monthly, vol. 42, No. 4 (April, 1935), pp. 198-207. Dressel, F. G. A generalization of harmonic junctionals. Read Feb. 23, 1935. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 381-388. Dunford, Nelson. Integration in general analysis. Read April 20, 1935. Tran- sactions of this Society, vol. 37, No. 3 (May, 1935), pp. 441-453. A cor- rection to Integration in general analysis. Transactions of this Society, vol. 38, No. 3 (Nov., 1935), pp. 600-601. On a theorem of Plessner. Read April 20, 1935. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 356-358. Dye, L. A. The number of trisecants of a space curve of order m which meet an i-fold secant. Read Oct. 27,1934. This Bulletin, vol. 41, No. 2 (Feb., 1935), pp. 109-110. Space involutorial transformations of the Geiser and Bertini types. Read Dec. 27, 1934. This Bulletin, vol. 41, No. 8 (Aug., 1935), pp. 515-520. Einstein, Albert. Elementary derivation of the equivalence of mass and energy. Read Dec. 28, 1934. This Bulletin, vol. 41, No. 4 (April, 1935), pp. 2 2 3 -

Evans, G. C. Application of Poincaré's sweeping-out process. Read Dec. 29,

  1. Proceedings of the National Academy of Sciences, vol. 19, No. 4 (April, 1933), pp. 457-461. On potentials of positive mass. Part I. Read Dec. 29, 1932, Oct. 28, 1933, and Dec. 27, 1933. Transactions of this Society, vol. 37, No. 2 (March, 1935), p p. 226-253. On potentials of positive mass. Part I I. Read Sept. 6, 1934, and Dec. 29,
  2. Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 2 0 1 -

Farrell O. J. On the expansion of harmonic functions in series of harmonic polynomials belonging to a simply connected region. Read Dec. 27, 1929, and Sept. 7, 1934. American Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 883-890. On approximation by polynomials to a function analytic in a simply con- nected region. Read Sept. 4, 1934. This Bulletin, vol. 41, No. 10 (Oct., 1935), pp. 707-711.

Fekete, Michael. Some generalizations of Paley's theorems on Fourier series with positive coefficients. Read Feb. 23, 1935. Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 237-249. Feld, J. M. Analytic curves for which the chord equals the arc. Read April 3,1931. American Mathematical Monthly, vol. 41, No. 9 (Nov., 1934), pp. 543-

Fialkow, Aaron. Trajectories and lines of force. Read March 30, 1934. Trans- actions of this Society, vol. 38, No. 1 (July, 1935), pp. 89-105. Finan, E. J. On the number theory of certain non-maximal domains of integrity of the total matric algebra of order 4. Read Oct. 27, 1934. Duke Mathemati- cal Journal, vol. 1, No. 4 (Dec, 1935), pp. 484-490. Flexner, W. W. The intersection of chains on a topological manifold. Read Dec. 27, 1933. American Journal of Mathematics, vol. 57, No. 2 (April, 1935), pp. 309-321. Flood, M. M. Division by non-singular matric polynomials. Read Feb. 25, 1933, and Dec. 27, 1933. Annals of Mathematics, (2), vol. 36, No. 4 (Oct., 1935), pp. 859-869. Ford, L. R. On properties of regions which persist in the subregions bounded by level curves of the Green's function. Read Sept. 6, 1934. Duke Mathematical Journal, vol. 1, No. 1 (March, 1935), pp. 103-104. Franklin, Philip. Two functional equations with integral arguments. Read April 3, 1931. American Mathematical Monthly, vol. 38, No. 3 (March, 1931), pp. 154-157. A six-color problem. Read Sept. 7, 1934. Journal of Mathematics and Physics, Massachusetts Institute of Technology, vol. 13, No. 3 (Nov., 1934), pp. 363-369. On Minkowski's definition of length and area. Read Sept. 7, 1934. Journal of Mathematics and Physics, Massachusetts Institute of Technology, vol. 14, No. 2 (June, 1935), pp. 179-185. Derivatives of higher order as single limits. Read Dec. 27, 1933. This Bulletin, vol. 41, No. 8 (Aug., 1935), pp. 573-582. Frink, Orrin. Differentiation of sequences. Read Dec. 27, 1934. This Bulletin, vol. 41, No. 8 (Aug., 1935), pp. 553-560. Garabedian, H. L. A convergence factor theorem in the theory of summable series. Read Sept. 5,1934. This Bulletin, vol. 41, No. 8 (Aug., 1935), pp. 583-592. Garver, Raymond. A definition of group by three postulates. Read Dec. 1, 1934. American Journal of Mathematics, vol. 57, No. 2 (April, 1935), pp. 276-

BiéberbacK s trisection method. Read Feb. 23, 1935. Scripta Mathematica, vol. 3, No. 3 (July, 1935), pp. 251-255. A note on Bieberbach's trisection method. Read Feb. 23, 1935. Journal fiir Mathematik, vol. 173, No. 4 (Sept., 1935), pp. 243-244. Gergen, J. J., and Littauer, S. B. Continuity and summabilityfor double Fourier series. Read Oct. 29, 1932. Transactions of this Society, vol. 38, No. 3 (Nov., 1935), pp. 401-435. Getchell, B. C. On the equivalence of two methods of defining Stieltjes integrals. Read April 6, 1934. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 413-418.

Inter-relations among the four principal types of order. Read April 20,1935. Transactions of this Society, vol. 38, No. 1 (July, 1935), pp. 1-9. The mathematical structure of Lewis's theory of strict implication. Read April 20, 1935. Fundamenta Mathematicae, vol. 25 (1935), pp. 147-156. Huston, R. E. Asymptotic generalizations of Waring's theorem. Read April 6,

  1. Proceedings of the London Mathematical Society, (2), vol. 39, No. 2 (March, 1935), pp. 82-115. Ingraham, M. H., and Wegner, K. W. The equivalence of pairs of Hermitian matrices. Read April 7, 1934, and Sept. 4, 1934. Transactions of this Society, vol. 38, No. 1 (July, 1935), pp. 145-162. Jackson, Dunham. Mathematical principles in the theory of small samples. Read June 20, 1934. American Mathematical Monthly, vol. 42, No. 6 (June- July, 1935), pp. 344-364. Jacobson, Nathan. Rational methods in the theory of Lie algebras. Read Feb. 23,
  2. Annals of Mathematics, (2), vol. 36, No. 4 (Oct., 1935), pp. 875-881. James, Glenn. On Fermât's last theorem. Read Dec. 2, 1933. American Mathe- matical Monthly, vol. 41, No. 7 (Aug.-Sept., 1934), pp. 419-424. Jenkins, E. D. On the composition of quadratic forms. Read April 19, 1935. This Bulletin, vol. 41, No. 10 (Oct., 1935), pp. 719-726. See MacDuffee, C. C. Jessen, Borge. Some analytical problems relating to probability. Read Dec. 27,
  3. Journal of Mathematics and Physics, Massachusetts Institute of Technology, vol. 14, No. 1 (March, 1935), pp. 24-27. Jessen, Borge, and Wintner, Aurel. Distribution functions and the Riemann zeta function. Read April 20, 1935. Transactions of this Society, vol. 38, No. 1 (July, 1935), pp. 48-88. Jones, F. B. A theorem concerning locally peripherally separable spaces. Read June 20, 1934. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 437-439. Kaltenborn, H. S. On Stieltjes mean integrals. Read Dec. 2, 1933. Dissertation, Michigan. Ann Arbor, Edwards, 1934. 33 pp. van Kampen, E. R. Topological characterizations of 2-dimensional manifolds. Read Dec. 27, 1933. Duke Mathematical Journal, vol. 1, No. 2 (March, 1935), pp. 74-93. Kellogg, O. D., and Sullivan, M. M. The boundary values of potentials and their derivativestheir dependence on the boundary. Read Dec. 27,1932. Memoirs of the American Academy of Arts and Sciences, vol. 18, No. 1 (July, 1935), pp. 1-47. Kempner, A. J. On the complex roots of algebraic equations. Read Nov. 30, 1934. This Bulletin, vol. 41, No. 12 (Dec, 1935), pp. 809-843. Kimball, B. F. Generalization of the Bernoulli polynomial of order one. Read June 23, 1933. This Bulletin, vol. 41, No. 12 (Dec, 1935), pp. 894-900. Kittell, Irving. A group of operations on a partially colored map. Read June 20,
  4. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 407-413. Kleene, S. C. See Rosser, J. B. Kogbetliantz, Ervand. Contribution à l'étude du saut d'une f onction donnée par son développement en série d'Hermite ou de Laguerre. Read April 20, 1935. Transactions of this Society, vol. 38, No. 1 (July, 1935), pp. 10-47. Koopman, B. O. See Doob, J. L.

Krall, H. L. On some asymptotic relations for the characteristic values of the elliptic differential equations. Read Dec. 27, 1933. American Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 907-917. Kullback, Solomon. An application of characteristic f unctions to the distribution problem of statistics. Read Feb. 25, 1933. Annals of Mathematical Sta- tistics, vol. 5, No. 4 ( D e c , 1934), pp. 263-307. A note on the analysis of variance. Read Feb. 23, 1935. Annals of Mathe- matical Statistics, vol. 6, No. 2 (June, 1935), pp. 76-77. On the Bernoulli distribution. Read Nov. 30, 1934. This Bulletin, vol. 41, No. 12 ( D e c , 1935), pp. 857-864. Lane, E. P. Plane sections through an asymptotic tangent of a surface. Read April 20, 1935. This Bulletin, vol. 41, No. 4 (April, 1935), pp. 285-290. A canonical power series expansion for a surface. Read April 20, 1935. Transactions of this Society, vol. 37, No. 3 (May, 1935), pp. 463-482. The neighborhood of a sextactic point on a plane curve. Read Sept. 11, 1935. Duke Mathematical Journal, vol. 1, No. 3 (Sept., 1935), pp. 287-292. Langer, R. E. On the asymptotic solutions of ordinary differential equations, with reference to the Stokes' phenomenon about a singular point. Read Sept. 6,

  1. Transactions of this Society, v o l 37, No. 3 (May, 1935), pp. 3 9 7 -

LaPaz, Lincoln. See Radó, Tibor. Latimer, C. G. On ideals in generalized quaternion algebras and hermitian forms. Read April 19, 1935. Transactions of this Society, vol. 38, No. 3 (Nov., 1935), pp. 436-446. Lehmer, D. H. Lacunary recurrence formulas for Bernoulli numbers. Read Dec. 27, 1933. Annals of Mathematics, (2), vol. 36, No. 3 (July, 1935), pp. 637-649. On Lucas's test f or the primality of Mer senne^1 s numbers. Read Feb. 23,

  1. Journal of the London Mathematical Society, vol. 10, No. 3 (July, 1935), pp. 162-165. Lehmer, D. N. Law of reciprocity f or tables of linear forms. Read Dec. 2, 1933. Tôhoku Mathematical Journal, vol. 40, No. 2 (April, 1935), pp. 405-407. Levitski, Jakob. On automorphisms of certain rings. Read June 20,1934. Annals of Mathematics, (2), vol. 36, No. 4 (Oct., 1935), pp. 984-992. Lewy, Hans. A priori limitations for solutions of Monge-Ampère equations. Read Sept. 5, 1934. Transactions of this Society, vol. 37, No. 3 (May, 1935), pp. 417-434. See Adams, C. R. Littauer, S. B. See Gergen, J. J. Litzinger, Marie. A basis for residual polynomials in n variables. Read Feb. 23,
  2. Transactions of this Society, vol. 37, No. 2 (March, 1935), pp. 216-225. Lorch, E. R. Functions of self-adjoint transformations in Hilbert space. Read April 20,1935. Acta Litterarum ac Scientiarum, vol. 7, No. 3 (July, 1935), pp. 136-146. McCoy, N. H. On the rational canonical form of a function of a matrix. Read D e c 28, 1934. American Journal of Mathematics, vol. 57, No. 3 (July, 1935), pp. 491-502.

Morrey, C. B. The topology of {path) surfaces. Read April 14, 1933. American Journal of Mathematics, vol. 57, No. 1 (Jan., 1935), pp. 17-50. An analytic characterization of surfaces of finite Lebesgue area. Read Dec. 27, 1932. American Journal of Mathematics, vol. 57, No. 3 (July, 1935), pp. 692-702. Moursund, A. F. On summation of derived series of the conjugate Fourier series. Read Oct. 28, 1933. Annals of Mathematics, (2), vol. 36, No. 1 (Jan., 1935), pp. 182-193. On the rth derived conjugate function. Read Dec. 1, 1934. This Bulletin, vol. 41, No. 2 (Feb., 1935), pp. 131-136. A note on Taylor's theorem. Read April 6, 1935. This Bulletin, vol. 41, No. 4 (April, 1935), pp. 231-232. On summation of derived series of the conjugate Fourier series. Read Oct. 27, 1934. American Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 854-860. Murray, F. J. Linear transformations between Hilbert spaces and the application of this theory to linear partial differential equations. Read March 31, 1934. Transactions of this Society, vol. 37, No. 2 (March, 1935), pp. 301-338. Myers, S. B. Riemannian manifolds in the large. Read Dec. 27, 1933. Duke Mathematical Journal, vol. 1, No. 1 (March, 1935), pp. 39-49. Connections between differential geometry and topology. I: Simply connected surfaces. Read Dec. 28, 1934, and April 19, 1935. Proceedings of the National Academy of Sciences, vol. 21, No. 4 (April, 1935), pp. 225-

von Neumann, John. On complete topological spaces. Read Dec. 28, 1934. Transactions of this Society, vol. 37, No. 1 (Jan., 1935), pp. 1-20. Zur Operatorenmethode in der Klassischen Mechanik. Read Dec. 30, 1932. Annals of Mathematics, (2), vol. 33, No. 3 (July, 1932), pp. 587-642. See Bochner, Salomon. Nichols, G. D. The explicit arithmetized Fourier series developments f or certain doubly periodic f unctions of the second kind. Read June 23, 1933. Tôhoku Mathematical Journal, vol. 40, No. 1 (Jan., 1935), pp. 252-258. The arithmetized expansions for certain doubly periodic functions of the third kind. Read Nov. 30, 1934. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 361-365. Oakley, C. O. Semi-linear equations. Read April 3, 1931, Dec. 28, 1931, and Dec. 27, 1933. Tôhoku Mathematical Journal, vol. 41, No. 1 (Aug., 1935), pp. 52-69. Oberg, E. N. The approximate solution of integral equations. Read June 23,

  1. This Bulletin, vol. 41, No. 4 (April, 1935), pp. 276-284. Offord, A. C. On Fourier transforms. III. Read Feb. 23, 1935. Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 250-266. Oldenburger, Rufus. Canonical triples of bilinear forms. Read April 7, 1934. Tôhoku Mathematical Journal, vol. 41, No. 1 (Aug., 1935), pp. 216-221. Olds, E. G. Distributions of greatest variâtes, least variâtes, and intervals of varia- tion in samples from a rectangular universe. Read Dec. 27, 1934. This Bulletin, vol. 41, No. 4 (April, 1935), pp. 297-304.

Ore, Oystein. Einige Bemerkungen ilber Irreduzibilitat. Read March 31, 1934. Jahresberichte der Deutschen Mathematiker-Vereinigung, vol. 44, Nos. 5-8 (1934), pp. 147-151. On the foundation of abstract algebra, I. Read Oct. 27, 1934. Annals of Mathematics, (2), vol. 36, No. 2 (April, 1935), pp. 406-437. Pall, Gordon. On the order invariants of integral quadratic forms. Read April 15, 1933, and June 20, 1934. Quarterly Journal of Mathematics, Oxford Series, vol. 6, No. 21 (March, 1935), pp. 30-51. A new solution of the Gauss problem on h(s 2 d)/h(d). Read April 6, 1935. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 373-374. Binary quadratic discriminants differing by square factors. Read Sept. 13,

  1. American Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 789-799. Perkins, F. W. The Dirichlet problem for domains with multiple boundary points. Read Dec. 26, 1933. Transactions of this Society, vol. 38, No. 1 (July, 1935), pp. 106-144. Prenowitz, Walter. The characterization of plane collineations in terms of ho- mologous families of lines. Read March 26, 1932, and Oct. 27, 1934. Trans- actions of this Society, vol. 38, No. 3 (Nov., 1935), pp. 564-599. Price, G. B. On reversible dynamical systems. Read Feb. 25, 1933. Transactions of this Society, vol. 37, No. 1 (Jan., 1935), pp. 51-79. Rademacher, Hans. Über die Anzahl der Primzahlen eines reell-quadratischen Zahlkörpers, deren Konjugierte unterhalb gegebener Grenzen liegen. Read Dec. 29, 1934. Acta Arithmetica, vol. 1, No. 1 (Feb., 1935), pp. 67-77. Radó, Tibor. On convex functions. Read April 7, 1934. Transactions of this Society, vol. 37, No. 2 (March, 1935), pp. 266-285. The isoperimetric inequality on the sphere. Read April 20, 1935. American Journal of Mathematics, vol. 57, No. 4 (Oct., 1935), pp. 765-770. Radó, Tibor, and LaPaz, Lincoln. On a converse of the Kneser transversality theorem. Read April 7, 1934. Annals of Mathematics, (2), vol. 36, No. 3 (July, 1935), pp. 749-769. Randolph, J. F. Carathêodory measure and a generalization of the Gauss-Green lemma. Read Oct. 27, 1934. Transactions of this Society, vol. 38, No. 3 (Nov., 1935), pp. 531-548. Reid, W. T. Discontinuous solutions of the non-parametric problem of Mayer in the calculus of variations. Read June 23, 1933. American Journal of Mathematics, vol. 57, No. 1 (Jan., 1935), pp. 69-93. The theory of the second variations f or the non-parametric problem of Bolza. Read Sept. 5, 1934. American Journal of Mathematics, vol. 57, No. 3 (July, 1935), pp. 573-586. A certain three-dimensional continuum. Read Feb. 23, 1935. This Bulletin, vol. 41, No. 10 (Oct., 1935), pp. 683-684. A theorem on plane continua. Read Dec. 28, 1934. This Bulletin, vol. 41, No. 10 (Oct., 1935), pp. 684-688. Richardson, Moses. On homology characters of symmetric products. Read Feb. 25, 1933. Duke Mathematical Journal, vol. 1 No. 1 (March, 1935), pp. 50-69.
  1. American Mathematical Monthly, vol. 42, No. 3 (March, 1935), pp. 145-149. A set of defining relations for the simple group of order 1092. Read Feb. 23,
  2. This Bulletin, vol. 41, No. 4 (April, 1935), pp. 237-240. Smith, P. A. The fundamental group of group manifolds. Read Sept. 6, 1934. Annals of Mathematics, (2), vol. 36, No. 1 (Jan., 1935), pp. 210-229. Suckau, J. W. T. On uniform convergence. Read April 6,1934. American Journal of Mathematics, vol. 57, No. 3 (July, 1935), pp. 549-561. Sullivan, M. M. See Kellogg, O. D. Synge, J. L. Some intrinsic and derived vectors in a Kawaguchi space. Read Dec. 27, 1934. American Journal of Mathematics, vol. 57, No. 3 (July, 1935), pp. 679-691. Mechanical models of spaces with positive-definite line-element. Read Dec. 27, 1933. Annals of Mathematics, (2), vol. 36, No. 3 (July, 1935), pp. 650-

Principal null-directions in space-time defined by an electromagnetic field. Read Dec. 29, 1934. University of Toronto Studies, Applied Mathematics Series, No. 1 (1935). Szâsz, Otto. Generalization of two theorems of Hardy and Littlewood on power series. Read Feb. 23, 1935. Duke Mathematical Journal, vol. 1, No. 1 (March, 1935), pp. 105-111. Convergence properties of Fourier series. Read Sept. 6, 1934. Transactions of this Society, vol. 37, No. 3 (May, 1935), pp. 483-500. Szegö, Gabriel. A problem concerning orthogonal polynomials. Read Dec. 29,

  1. Transactions of this Society, vol. 37, No. 1 (Jan., 1935), pp. 196-206. T a r t 1er, Alexander. On a certain class of orthogonal polynomials. Read Oct. 31,
  2. American Journal of Mathematics, vol. 57, No. 3 (July, 1935), pp. 627-644. Taylor, A. E. A reduced set of postulates f or abstract Hilbert space. Read Dec. 1,
  3. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 439-448. Terry, Henrietta. Abelian subgroups of order pm^ of the I-groups of the abelian groups of order pn^ and type 1, 1, • • •. Read Sept. 7, 1934. Duke Mathe- matical Journal, vol. 1, No. 1 (March, 1935), pp. 27-34. Thomas, T. Y. Algebraic characterizations in complex differential geometry. Read Sept. 13, 1935. Transactions of this Society, vol. 38, No. 3 (Nov., 1935), pp. 501-514. Thompson, W. R. On the theory of apportionment. Read Dec. 27, 1933. Ameri- can Journal of Mathematics, vol. 57, No. 2 (April, 1935), pp. 450-456. Tompkins, C. B. Linear connections in normal space to a variety in euclidean space. Read April 19, 1935. This Bulletin, vol. 41, No. 12 ( D e c , 1935), pp. 931-936. Trjitzinsky, W. J. The general case of linear integro-differential equations. Read Dec. 27, 1933. Proceedings of the National Academy of Sciences, vol. 20, No. 12 ( D e c , 1934), pp. 668-671. Laplace integrals and factorial series in the theory of linear differential and linear difference equations. Read Dec. 27, 1934. Transactions of this Society, vol. 37, No. 1 (Jan., 1935), pp. 80-146.

A theory of quasi-analytic classes. Read Dec. 27, 1932. Mathematische Zeitschrift, vol. 39, No. 4 (Jan., 1935), pp. 560-589. Trump, P. L. On a reduction of a matrix by the group of matrices commutative with a given matrix. Read Sept. 4, 1934. This Bulletin, vol. 41, No. 6 (June, 1935), pp. 374-380. Uhlenbeck, G. E. The probability of position in a canonical ensemble. Read Dec. 27, 1933. Journal of Mathematics and Physics, Massachusetts Insti- tute of Technology, vol. 14, No. 1 (March, 1935), pp. 10-16. Uspensky, J. V. On the expansion of the remainder in the Newton-Cotes formula. Read Sept. 7, 1934. Transactions of this Society, vol. 37, No. 3 (May, 1935), pp. 381-396. Van Schaack, G. B. See Morse, Marston. Vickery, C. W. Spaces in which there exist uncountable convergent sequences of points. Read Oct. 28, 1933. Tôhoku Mathematical Journal, vol. 40, No. 1 (Jan., 1935), pp. 1-26. Walsh, J. L. Lemniscates and equipotential curves of Green's functions. Read June 20, 1934. American Mathematical Monthly, vol. 42, No. 1 (Jan., 1935), pp. 1-17. Interpolation and approximation by rational functions in the complex do- main. Read Dec. 27, 1932, April 14, 1933, Dec. 27, 1933, March 31, 1934, Dec. 27, 1934, and Feb. 23, 1935. American Mathematical Society Col- loquium Publications, vol. 20, 1935. 9+382 pp. Ward, L. E. A third-order irregular boundary value problem and the associated series. Read Feb. 25, 1933. American Journal of Mathematics, vol. 57, No. 2 (April, 1935), pp. 345-362. Ward, Morgan. Note on the period of a mark in a finite field. Read June 20,1934. This Bulletin, vol. 40, No. 4 (April, 1934), pp. 279-281.

  • Conditions for factorization in a set closed under a single operation. Read Dec. 27, 1934. Annals of Mathematics, (2), vol. 36, No. 1 (Jan., 1935), pp. 36-39. A determination of all possible systems of strict implication. Read Dec. 27,
  1. American Journal of Mathematics, vol. 57, No. 2 (April, 1935), pp. 261-266. An enumerative problem in the arithmetic of linear recurring series. Read Dec. 27, 1934. Transactions of this Society, vol. 37, No. 3 (May, 1935), pp. 435-440. The diophantine equation X^2 -DY^2 = ZM. Read Dec. 2, 1933. Transac- tions of this Society, vol. 38, No. 3 (Nov., 1935), pp. 447-457. Warschawski, S. E. On the higher derivatives at the boundary in conformai map- ping. Read Oct. 27, 1934. Transactions of this Society, vol. 38, No. 2 (Sept., 1935), pp. 310-340. Webb, D. L. Generation of an n-valued logic by one binary operation. Read April 6, 1935. Proceedings of the National Academy of Sciences, vol. 21, No. 5 (May, 1935), pp. 252-254. Weeks, D. W. Three mathematical methods of analyzing polarized light. Read Sept. 12,1930. Journal of Mathematics and Physics, Massachusetts Insti- tute of Technology, vol. 13, No. 4 (Dec, 1934), pp. 371-379.

American Journal of Mathematics, vol. 57, No. 2 (April, 1935), pp. 322-

Wintner, Aurel. See Jessen, Borge. Wong, B.C. Certain contact properties of linear systems of hyper surfaces. Read June 20, 1934. Transactions of this Society, vol. 37, No. 2 (March, 1935), pp. 207-215. Zariski, Oscar. See Barber, S. F. Zippin, Leo. Countable torsion groups. Read Oct. 27, 1934. Annals of Mathe- matics, (2), vol. 36, No. 1 (Jan., 1935), pp. 86-99. Semi-compact spaces. Read Dec. 27, 1933. American Journal of Mathe- matics, vol. 57, No. 2 (April, 1935), pp. 327-341. Zorn, Max. The automorphisms of Cayley's non-associative algebra. Read April 19, 1935. Proceedings of the National Academy of Sciences, vol. 21, No. 6 (June, 1935), pp. 355-358. A remark on method in transfinite algebra. Read Oct. 27, 1934. This Bulletin, vol. 41, No. 10 (Oct., 1935), pp. 667-670.