Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

Volume 20, Number 3

Publication Date: September 1953

Congruences for Eulerian numbers

L. Carlitz and J. Riordan; 339-343

Completeness theorems for sets of differential operators

Philip Davis; 345-357

An extension of results in the uniqueness theory of double trigonometric series

Victor L. Shapiro; 359-365

The distribution modulo $1$ of trigonometric sequences

W. J. LeVeque; 367-374

The asymptotic behaviour of powers of matrices. II.

Werner Gautschi; 375-379

A problem of Hurwitz and Newman

Jean Dieudonné; 381-389

Least determinants of integral quadratic forms

A. Oppenheim; 391-393

Methods of constructing certain stochastic matrices

Hazel Perfect; 395-404

Finite metabelian groups and planes of $\Sigm_{14}$

Leland L. Scott; 405-415

Pascal’s theorem in space

N. A. Court; 417-421

Some theorems on Kummer’s congruences

L. Carlitz; 423-431

Asymptotic properties of functions of exponential type

R. P. Boas, Jr.; 433-448

Analyticity, and the maximum modulus principle

Walter Rudin; 449-457

Basic sets of polynomials and their reciprocal, product and quotient sets

M. N. Mikhail; 459-479

Reduction of differential systems to first order

Robert Taylor Herbst; 481-487

Basis theorems for partial differential equations

Raymond M. Redheffer; 489-498

The harmonic analysis of bounded functions

Harry Pollard; 499-512