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 21, Number 3

Publication Date: September 1954

Generalization of the reciprocity formula for Dedekind sums

Hans Rademacher; 391-397

A note on generalized Dedekind sums

L. Carlitz; 399-403

Some theorems on Bernoulli and Euler numbers of higher order

L. Carlitz and F. R. Olson; 405-421

An algebra determined by a binary cubic form

Nickolas Heerema; 423-443

Class number relations for quadratic forms over $GF[q,x]$

G. Cleaves Byers; 445-461

Decompositions and quasi-compact mappings

Abram V. Martin; 463-469

Commutative semigroups

Robert E. MacKenzie; 471-477

A class of functions related to harmonic functions

I. M. Sheffer; 479-489

Limit theorems for non-commutative operations. I.

Richard Bellman; 491-500

Toeplitz matrices, translation kernels and a related problem in probability theory

M. Kac; 501-509

Point systems for Lagrange interpolation

James W. Armstrong; 511-516

Some characterizations of valuation rings

Karl Egil Aubert; 517-525

Stieltjes integral representation of convex functions

W. B. Temple; 527-531

Entire functions as limits of polynomials

Jacob Korevaar; 533-548

A class of continued fractions associated with certain properly discontinuous groups

David Rosen; 549-563

Maximal ideals in rings of bounded continuous functions

J. K. Goldhaber and E. S. Wolk; 565-569