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 39, Number 1

Publication Date: March 1972

The unit ball in conjugate $L_1$ spaces

A. J. Lazar; 1-8

On the Bergman metrics and their indicatrixes

Jacob Burbea; 9-18

The distribution of $k$th power residues and non-residues in the integral domain $Z(\sqrt{-2})$

Gerald E. Bergum; 19-24

A generating function and a binomial identity

J. P. Singhal; 25-30

Some identities in combinatorial analysis

L. Carlitz; 31-37

Compact $p$-adic semigroups

John A. Hildebrant; 39-44

Decompositions of $E^3$ into shrinkable ends

Arlo W. Schurle; 45-53

Riemannian manifolds with non-negative Ricci curvature

André Avez; 55-64

Imbedding of compact metric spaces into cubes

Nosup Kwak; 65-75

On a set-theoretic partition problem

Karel Prikry; 77-83

On the distribution of $k$-th power nonresidues

Richard H. Hudson; 85-88

Dilatations of quasiconformal boundary correspondences

F. W. Gehring; 89-95

Topological groups which are not full homeomorphism groups

Beverly Brechner; 97-99

The minimum polynomial for a given solution of a linear recursion

Michael Willett; 101-104

Mackey topologies which are locally convex Riesz topologies

L. C. Moore, Jr. and James C. Reber; 105-119

Equivalence classes of linear mappings with applications to algebraic cryptography, I

J. V. Brawley and Jack Levine; 121-132

Equivalence classes of linear mappings with applications to algebraic cryptography, II

J. V. Brawley and Jack Levine; 133-142

Locally geometrically unknotted one-manifolds

H. C. Griffith; 143-148

On $\sigma$-type polynomials generated by $A(t)\psi (xH(t))$

Arun Verma; 149-152

Rectangular arrays of zeros and ones

L. Carlitz; 153-164

On a combinatorial identity of Winquist and its generalization

L. Carlitz and M. V. Subbarao; 165-172

Some extensions of the Mehler formula, II

H. M. Srivastava and J. P. Singhal; 173-177

A universal countable first-countable Hausdorff space

Lawrence L. Larmore; 179-181

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