Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Contents of Volume 35, Number 1
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Systems of linear difference equations and expansions in series of exponential functions
R. D. Carmichael
Trans. Amer. Math. Soc. 35 (1933), 1-28
DOI: https://doi.org/10.1090/S0002-9947-1933-1501670-X
Convergence criteria for double Fourier series
J. J. Gergen
Trans. Amer. Math. Soc. 35 (1933), 29-63
DOI: https://doi.org/10.1090/S0002-9947-1933-1501671-1
On the numerators of the convergents of the Stieltjes continued fractions
Jacob Sherman
Trans. Amer. Math. Soc. 35 (1933), 64-87
DOI: https://doi.org/10.1090/S0002-9947-1933-1501672-3
Three-dimensional manifolds and their Heegaard diagrams
James Singer
Trans. Amer. Math. Soc. 35 (1933), 88-111
DOI: https://doi.org/10.1090/S0002-9947-1933-1501673-5
Non-cyclic algebras of degree and exponent four
A. Adrian Albert
Trans. Amer. Math. Soc. 35 (1933), 112-121
DOI: https://doi.org/10.1090/S0002-9947-1933-1501674-7
On abelian fields
Leonard Carlitz
Trans. Amer. Math. Soc. 35 (1933), 122-136
DOI: https://doi.org/10.1090/S0002-9947-1933-1501675-9
On the derivatives of Newtonian and logarithmic potentials near the acting masses
Mildred M. Sullivan
Trans. Amer. Math. Soc. 35 (1933), 137-171
DOI: https://doi.org/10.1090/S0002-9947-1933-1501676-0
The degree of convergence of a series of Bessel functions
M. G. Scherberg
Trans. Amer. Math. Soc. 35 (1933), 172-183
DOI: https://doi.org/10.1090/S0002-9947-1933-1501677-2
On the properties of polynomials satisfying a linear differential equation. I
I. M. Sheffer
Trans. Amer. Math. Soc. 35 (1933), 184-214
DOI: https://doi.org/10.1090/S0002-9947-1933-1501678-4
On the resultant of a system of forms homogeneous in each of several sets of variables
Neal H. McCoy
Trans. Amer. Math. Soc. 35 (1933), 215-233
DOI: https://doi.org/10.1090/S0002-9947-1933-1501679-6
An axiomatic basis for plane geometry
Stewart S. Cairns
Trans. Amer. Math. Soc. 35 (1933), 234-244
DOI: https://doi.org/10.1090/S0002-9947-1933-1501680-2
Proof of the fundamental theorems on second-order cross partial derivatives
A. E. Currier
Trans. Amer. Math. Soc. 35 (1933), 245-253
DOI: https://doi.org/10.1090/S0002-9947-1933-1501681-4
The cancellation law in the theory of congruences to a double modulus
Morgan Ward
Trans. Amer. Math. Soc. 35 (1933), 254-260
DOI: https://doi.org/10.1090/S0002-9947-1933-1501682-6
A characterization of the closed $2$-cell
Hassler Whitney
Trans. Amer. Math. Soc. 35 (1933), 261-273
DOI: https://doi.org/10.1090/S0002-9947-1933-1501683-8
New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russell’s Principia mathematica
Edward V. Huntington
Trans. Amer. Math. Soc. 35 (1933), 274-304
DOI: https://doi.org/10.1090/S0002-9947-1933-1501684-X
Sufficient conditions for a problem of Mayer in the calculus of variations
G. A. Bliss and M. R. Hestenes
Trans. Amer. Math. Soc. 35 (1933), 305-326
DOI: https://doi.org/10.1090/S0002-9947-1933-1501685-1
The total variation of $g(x+h)-g(x)$
Norbert Wiener and R. C. Young
Trans. Amer. Math. Soc. 35 (1933), 327-340
DOI: https://doi.org/10.1090/S0002-9947-1933-1501686-3