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 29, Number 1

Publication Date: March 1962

The separation of $S^3$ by a double torus

C. H. Edwards, Jr.; 1-4

Generating functions for powers of Fibonacci numbers

John Riordan; 5-12

Mahler matrices and the equation $QA=AQ^m$

J. L. Brenner; 13-28

A new property of the Jacobi symbol

J. L. Brenner; 29-31

Asymptotic renewal theorems in the absolutely continuous case

R. H. Farrell; 33-40

Test spaces for homological dimension

Yukihiro Kodama; 41-50

Operational formulas connected with two generalizations of Hermite polynomials

H. W. Gould and A. T. Hopper; 51-63

Trace properties of semigroups of matrices with quaternion elements

N. A. Wiegmann; 65-69

Subinvariant measures for Markoff operators

Jacob Feldman; 71-98

Separability of connected, locally connected, metric spaces

Prabir Roy; 99-100

Some extremal theorems for multivalently star-like functions

John Bender; 101-106

Theory of compact rings. III. Compact dual rings

Katsumi Numakura; 107-123

Concerning local separability in metric spaces

L. B. Treybig; 125-128

Two combinatorial theorems on arithmetic progressions

Wolfgang M. Schmidt; 129-140

Certain convexity conditions on matrices with applications to Gaussian processes

J. Chover; 141-150

Necessary condition on $C$-fractions of algebraic functions

E. P. Merkes and W. T. Scott; 151-155

Compactness in function spaces

John W. Brace; 157-166

Ramified coverings of Riemann surfaces

Dale H. Husemoller; 167-174