Bull. Amer. Math. Soc., Tome 53 (1947)

Project Euclid

A simple proof that $\pi$ is irrational

Niven, Ivan

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New Publications

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Review: Paul Dubreil, Algèbre. Vol. 1. Équivalences, opérations, groupes, anneaux, corps

Schilling, O. F. G.

Project Euclid

Review: G. Vitali and G. Sansone, Moderna teoria delle funzioni di variabile reale

Hille, Einar

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New publications

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Abstracts of Papers: Logic and foundations

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A prime-representing function

Mills, W. H.

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Abstracts of Papers: Geometry

Project Euclid

Review: Tables of spherical Bessel functions

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Review: A. Gloden, Table des solutions de la congruence $x^4 + 1 \equiv 0\,\left( {\bmod .\,p} \right)$ pour $350.000 < p < 500.000$

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New publications

Project Euclid

Review: A. Fletcher, J. C. P. Miller and L. Rosenhead, An index of mathematical tables

Project Euclid

Statistics and probability

Project Euclid

Addition to my note on semi-simple rings

Goldman, Oscar

Project Euclid

New publications

Project Euclid

Errata, Volume 53

Project Euclid

Review: R. A. Frazer, W. J. Duncan and A. R. Collar, Elementary matrices and some applications to dynamics and differential equations

Murnaghan, F. D.

Project Euclid

Abstracts of Papers: Statistics and probability

Project Euclid

Review: A manual of operation for the automatic sequence controlled calculator

Murray, F. J.

Project Euclid

New publications

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Irreducible representations of operator algebras

Segal, I. E.

p. 73-88

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On functions having subharmonic logarithms

p. 89-95

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A particular generalized Laplacian

p. 96-97

Project Euclid

On areolar monogenic functions

p. 98-103

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A cantor function constructed by continued fractions

Herzog, F. ; Bissinger, B. H.

p. 104-115

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Note on the degree of convergence of sequences of polynomials

Walsh, J. L. ; Nilson, E. N.

p. 116-117

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Subseries of series which are not absolutely convergent

Agnew, Ralph Palmer

p. 118-120

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Absolute and unconditional convergence

Macphail, M. S.

p. 121-123

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A property of derivatives

Clarkson, J. A.

p. 124-125

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The converse of a theorem of Tchaplygin on differential inequalities

Wilkins, J. Ernest

Cameron, R. H. ; Martin, W. T.

p. 126-129

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The behavior of measure and measurability under change of scale in Wiener space

p. 130-137

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On the set of values of a finite measure

Halmos, Paul R.

p. 138-141

Project Euclid

Limit distribution of the maximum and minimum of successive cumulative sums of random variables

Wald, Abraham

Note on the zeros of $P_n^m \left( {\cos \theta } \right)$ and ${{dP_n^m \left( {\cos \theta } \right)} \mathord{\left/ {\vphantom {{dP_n^m \left( {\cos \theta } \right)} {d\theta }}} \right. \kern-\nulldelimiterspace} {d\theta }}$ considered as functions of $n$

p. 142-153

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Horton, C. W.

p. 153-155

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From among $n$ conjugate algebraic integers, $n - 1$ can be approximately given

Motzkin, Th.

p. 156-162

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On Mersenne's number $M_{199}$ and Lucas's sequences

Uhler, H. S.

p. 163-164

Project Euclid

On the factors of $2^n \pm 1$

Lehmer, D. H.

p. 164-167

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On $k$-to-1 transformations

Gottschalk, W. H.

p. 168-169

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A characterization of a semi-locally-connected plane continuum

Jones, F. Burton

p. 170-175

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Open transformations and dimension

Roberts, J. H.

p. 176-178

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Curvature in Hermitian metric

Bochner, S.

p. 179-195

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A characterization of Minkowskian geometry

Davids, Norman

p. 196-200

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Gratings and homology theory

Alexander, J. W.

p. 201-233

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The November meeting in Ames

Bruck, R. H.

p. 234-237

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The November meeting in Los Angeles

Schaeffer, A. C.

p. 238-239

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The annual meeting of the Society

p. 240-260

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Review: Elie Cartan, Les systèmes différentiels extérieurs et leurs applications géométriques

Thomas, J. M.

p. 261-266

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Review: Tables of the modified Hankel functions of order one-third and of their derivatives

p. 266-267

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Notes

p. 268-271

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Algebra and theory of numbers

p. 272-275

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Analysis

p. 275-281

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Applied mathematics

p. 281-284

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Geometry

p. 284-286

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Topology

p. 286-287

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Remarks on metrizability

Stone, M. H.

p. 289-291

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Some remarks on the theory of graphs

Erdös, P.

p. 292-294

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On compact fiberings of the plane

Young, Gail S.

p. 295-298

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On the interior of the convex hull of a euclidean set

Gustin, William

p. 299-301

Project Euclid

On Nörlund summability of random variables to zero

Forsythe, George E.

Galbraith, A. S. ; Green, J. W.

p. 302-313

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A note on the mean value of the Poisson kernel

p. 314-320

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On averages of Newtonian potentials

p. 321-331

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On the structure of intrinsic derivatives

Craig, Homer V.

p. 332-342

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A note on the interrelation of subsets of independent variables of a continuous function with continuous first derivatives

Leontief, Wassily

p. 343-350

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Unsymmetrical approximation of irrational numbers

Robinson, Raphael M.

p. 351-361

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A new proof of Hilbert's Nullstellensatz

Zariski, Oscar

p. 362-368

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On the structure of algebras with nonzero radical

Hochschild, G.

p. 369-377

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On a conjecture about infinite class fields

Whaples, George

p. 377-380

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Sequences of ideal solutions in the Tarry-Escott problem

Dorwart, H. L.

p. 381-391

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The non-existence of a certain type of odd perfect number

Levit, R. J.

p. 392-396

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Extensions of differential fields. III

Kolchin, E. R.

p. 397-401

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Two-dimensional geometries with elementary areas

Busemann, Herbert

p. 402-407

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On principal lines and principal points

Fong, Shu-Chu

p. 408-416

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Some problems in conformal mapping

Spencer, D. C.

p. 417-439

Project Euclid

Jacob David Tamarkin—His life and work

Hille, Einar

p. 440-457

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The February meeting in New York

p. 458-461

Project Euclid

Review: G. A. Bliss, Lectures on the calculus of variations

Hestenes, M. R.

p. 462-464

Project Euclid

Review: W. J. Sternberg and T. L. Smith, The theory of potential and spherical harmonics

Bourgin, D. G.

p. 464-466

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Notes

p. 467-474

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Abstracts of Papers: Algebra and theory of numbers

p. 475-481

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Abstracts of Papers: Analysis

p. 481-495

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Abstracts of Papers: Applied mathematics

p. 495-499

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Abstracts of Papers: Geometry

p. 499-501

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Abstracts of Papers: Logic and foundations

p. 501-502

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Abstracts of Papers: Topology

p. 502-507

Project Euclid

On the non-summability $\left( {C,1} \right)$ of Fourier series

Misra, M. L.

p. 510-514

Project Euclid

Note on the derivatives of functions analytic in the unit circle

Walsh, J. L.

p. 515-523

Project Euclid

A note on the minimum modulus of a class of integral functions

Shah, S. M.

p. 524-529

Project Euclid

Mean values of periodic functions

Civin, Paul

p. 530-535

Project Euclid

Some asymptotic formulas for multiplicative functions

Erdös, P.

p. 536-544

Project Euclid

On a class of Taylor series

Cowling, V. F.

p. 544-547

Project Euclid

On real continuous solutions of algebraic difference equations

Shah, S. M.

p. 548-558

Project Euclid

Inner products in normed linear spaces

James, Robert C.

p. 559-566

Project Euclid

Ternary Boolean algebra

Grau, A. A.

p. 567-572

Project Euclid

Concerning automorphisms of non-associative algebras

Schafer, R. D.

p. 573-583

Project Euclid

On the reduction of the conjugating representation of a finite group

Frame, J. Sutherland

p. 584-589

Project Euclid

A note on finite abelian groups

Paige, L. J.

p. 590-593

Project Euclid

On rings whose associated Lie rings are nilpotent

Jennings, S. A.

p. 593-597

Project Euclid

A sum connected with the partition function

Whiteman, Albert Leon

p. 598-603

Project Euclid

On the characteristic equations of certain matrices

Brauer, Alfred

p. 605-607

Project Euclid

Note on Hadamard's determinant theorem

Williamson, John

p. 608-613

Project Euclid

A geometric theorem and its application to biorthogonal systems

Taylor, Angus E.

p. 614-616

Project Euclid

Lattices of continuous functions

Kaplansky, Irving

p. 617-623

Project Euclid

Linear topological division algebras

Arens, Richard

p. 623-630

Project Euclid

On the topological product of paracompact spaces

Sorgenfrey, R. H.

p. 631-632

Project Euclid

On restoring forces which admit forcing terms of non-critical amplitude

Crandall, Stephen H.

p. 633-636

Project Euclid

The American Mathematical Society and Applied Mathematics

Kline, J. R.

The Special Committee on Applied Mathematics

p. 637-638

Project Euclid

Instruction and research in Applied Mathematics

p. 639-640

Project Euclid

The transfer of radiation in stellar atmospheres

Chandrasekhar, S.

p. 641-711

Project Euclid

The January meeting on fluid dynamics

Tukey, J. W.

p. 712-713

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The April meeting in New York

p. 714-724

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The April meeting in Chicago

Bruck, R. H.

p. 725-730

Project Euclid

The April meeting in Stanford University

Schaeffer, A. C.

p. 731-732

Project Euclid

Review: H. Cramér, Mathematical methods of statistics

Scheffé, Henry

p. 733-735

Project Euclid

Review: G. Valiron, Cours d'analyse mathématique

Heins, Maurice

p. 736-738

Project Euclid

Review: Francesco Tricomi, Funzioni analitiche

Strodt, Walter

p. 739-740

Project Euclid

Notes

p. 741-744

Project Euclid

Abstracts of Papers: Analysis

p. 745-746

Project Euclid

Abstracts of Papers: Applied mathematics

Birkhoff, Garrett ; Kiss, S. A.

p. 746-747

Project Euclid

A ternary operation in distributive lattices

p. 749-752

Project Euclid

On relations existing between two kernels of the form $\left( {a,b} \right) + b$ and $\left( {b,a} \right) + b$

Hebroni, P.

p. 753-756

Project Euclid

On the representation of $\sigma$-complete Boolean algebras

Loomis, L. H.

p. 757-760

Project Euclid

Some remarks and corrections to one of my papers

Erdös, Paul

p. 761-763

Project Euclid

Ramanujan's function $\tau \left( n \right)$—A congruence property

Bambah, R. P.

p. 764-765

Project Euclid

A congruence property of Ramanujan's function $\tau \left( n \right)$

Bambah, R. P. ; Chowla, S. ; Gupta, H.

p. 766-767

Project Euclid

A new congruence property of Ramanujan's function $\tau \left( n \right)$

Bambah, R. P. ; Chowla, S.

p. 768-769

Project Euclid

Topological Abelian groups with ordered norms

James, R. C. ; Michal, A. D. ; Wyman, Max

p. 770-774

Project Euclid

Alternative regular rings without nilpotent elements

Smiley, Malcolm F.

p. 775-778

Project Euclid

A note on relatively prime sequences

Bellman, Richard

p. 778-779

Project Euclid

Parametric solution of linear homogeneous diophantine equations

Givens, Wallace

p. 780-783

Project Euclid

Mertens' theorem and sequence transformations

Hamilton, Hugh J.

Erdös, Paul ; Piranian, George

p. 784-786

Project Euclid

A note on transforms of unbounded sequences

p. 787-790

Project Euclid

Note on power series

Zorn, Max A.

p. 791-792

Project Euclid

On the convergence of double series

Wilansky, Albert

Dunford, Nelson ; Hille, Einar

p. 793-799

Project Euclid

The differentiability and uniqueness of continuous solutions of addition formulas

p. 799-805

Project Euclid

Some generalized hypergeometric polynomials

Fasenmyer, Mary Celine

p. 806-812

Project Euclid

Some inequalities relating to conformal mapping upon canonical slit-domains

Epstein, Bernard

p. 813-819

Project Euclid

Note on affinely connected manifolds

Chern, Shiing-Shen

Kasner, Edward ; DeCicco, John

p. 820-823

Project Euclid

Rational harmonic curves

Kasner, Edward ; DeCicco, John

p. 824-831

Project Euclid

Harmonic transformation theory of isothermal families

p. 832-840

Project Euclid

A generalization of Steiner's formulae

Abascal, E. Vidal

p. 841-844

Project Euclid

The essential part of a surface

Reichelderfer, Paul V.

p. 845-855

Project Euclid

Subdirect sums of rings

McCoy, Neal H.

Prager, William ; Hollcroft, T. R.

p. 856-877

Project Euclid

First Symposium in Applied Mathematics

p. 878-881

Project Euclid

Hans Frederik Blichfeldt, 1873–1945

Dickson, L. E.

p. 882-883

Project Euclid

Review: Claude Chevalley, The theory of Lie groups, I

Smith, P. A.

p. 884-887

Project Euclid

Review: Solomon Lefschetz, Lectures on differential equations

MacColl, L. A.

p. 887-888

Project Euclid

Review: Sophie Piccard, Sur les bases du group symétrique et les couples de substitutions qui engendrent un groupe régulier

Jones, A. W.

p. 888-891

Project Euclid

Review: Tables of the Bessel functions of the first kind of orders zero, one, two, and three

p. 891-892

Project Euclid

Review: F. J. Murray, The theory of mathematical machines

Goldstine, H. H.

p. 893-895

Project Euclid

Notes

p. 896-904

Project Euclid

Abstracts of Papers: Algebra and theory of numbers

p. 905-909

Project Euclid

Abstracts of Papers: Analysis

p. 909-915

Project Euclid

Abstracts of Papers: Applied mathematics

p. 915-916

Project Euclid

Abstracts of Papers: Statistics and probability

p. 917-920

Project Euclid

Abstracts of Papers: Topology

p. 920-923

Project Euclid

Primitive recursive functions

Robinson, Raphael M.

p. 925-942

Project Euclid

A proof of two fundamental theorems on linear transformations in Hilbert space, without use of the axiom of choice

Barsotti, I.

p. 943-949

Project Euclid

Congruence properties of Ramanujan's function $\tau \left( n \right)$

Bambah, R. P. ; Chowla, S.

p. 950-955

Project Euclid

A note on the Schmidt-Remak theorem

Kiokemeister, Fred

Diamond, A. H. ; McKinsey, J. C. C.

p. 957-958

Project Euclid

Algebras and their subalgebras

p. 959-962

Project Euclid

Nonlinear networks. IIa

Duffin, R. J.

p. 963-971

Project Euclid

A bound for the error in computing the Bessel functions of the first kind by recurrence

Goheen, H. E.

p. 972-975

Project Euclid

An electro-mechanical investigation of the Riemann zeta function in the critical strip

van der Pol, Balth.

p. 976-981

Project Euclid

On the sum of the relative extrema of $\left| {f\left( z \right)} \right|$ on the unit circle

Breusch, Robert

p. 982-986

Project Euclid

On locally simple curves

Whyburn, G. T.

p. 986-992

Project Euclid

Constrained motion upon a surface under a generalized field of force

DeCicco, John

p. 993-1001

Project Euclid

On the notion of recurrence in discrete stochastic processes

Kac, M.

p. 1002-1010

Project Euclid

On the number of positive sums of independent random variables

Erdös, P. ; Kac, M.

von Neumann, John ; Goldstine, H. H.

p. 1011-1020

Project Euclid

Numerical inverting of matrices of high order

p. 1021-1099

Project Euclid

The Summer meeting in New Haven

p. 1100-1133

Project Euclid

Notes

p. 1134-1139

Project Euclid

On Green's and Neumann's functions in the theory of partial differential equations

Bergman, S. ; Schiffer, M.

p. 1141-1151

Project Euclid

The isoperimetric problem of Bolza with finite side conditions

Wilkins, J. Ernest

p. 1151-1155

Project Euclid

A note on the derivatives of integral functions

Shah, S. M.

p. 1156-1163

Project Euclid

Generalization of certain theorems of G. Szegö on the location of zeros of polynomials

de Sz. Nagy, Gyula

p. 1164-1169

Project Euclid

Some remarks on polynomials

Erdös, P.

p. 1169-1176

Project Euclid

Pairs of inverse modules in a skewfield

Levi, F. W.

p. 1177-1182

Project Euclid

On a conjecture of Carmichael

Klee, V. L.

p. 1183-1186

Project Euclid

On the Darboux tangents

Grove, V. G.

p. 1186-1191

Project Euclid

On a linkage theorem by L. Cesari

Eilenberg, Samuel

p. 1192-1195

Project Euclid

Index of volume 53