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 1

Publication Date: March 1954

An existence theorem for the generalized Tricomi problem

M. H. Protter; 1-7

Rings of arithmetic functions. II: The number of solutions of quadratic congruences

Eckford Cohen; 9-28

A boundary-value problem for analytic solutions of an ultrahyperbolic equation

O. G. Owens; 29-38

Singular quartic forms

D. J. Lewis; 39-44

An elementary proof of a theorem of Jacobson

I. N. Herstein; 45-48

Another proof of the prime number theorem

Robert Breusch; 49-53

Additive polynomials

G. Whaples; 55-65

Fibre spaces with totally disconnected fibres

Paul S. Mostert; 67-74

Effect of the addition of the unit set on the order of a simple monic set of polynomials

Ragy H. Makar; 75-78

The structure of non-semisimple algebras

Charles W. Curtis; 79-85

Non-commutative cyclic fields

A. S. Amitsur; 87-105

Quadratic residues

N. C. Ankeny; 107-112

A characterization of the modular group and certain similar groups

Murray Gerstenhaber; 113-121

Representations by quadratic forms in a finite field

L. Carlitz; 123-137

On the coefficient group in cohomology

W. L. Gordon; 139-153

A recent note of Kolbina

James A. Jenkins; 155-162

Local properties of topological spaces

Ernest Michael; 163-171

Generalized Laplacians of the second kind and double trigonometric series

Victor L. Shapiro; 173-178

Automorphs of quadratic forms

Burton W. Jones and Donald Marsh; 179-193