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 5, Number 1

Publication Date: March 1939

The ergodic theorem

Norbert Wiener; 1-18

The mean ergodic theorem

Garrett Birkhoff; 19-20

The analytic prolongation of a minimal surface over a rectilinear segment of its boundary

Jesse Douglas; 21-29

Surfaces in four-space of constant curvature

Nathaniel Coburn; 30-38

The characterization of flat projective spaces by their differential invariants

Robert Singleton; 39-48

The Waring problem with summands

Mary Haberzetle; 49-57

Isometric embedding of flat manifolds in Euclidean space

C. Tompkins; 58-61

Simultaneous invariants of a complex and subcomplex

C. E. Clark; 62-71

Lineal element transformations of space for which normal congruences of curves are converted into normal congruences

Edward Kasner; 72-83

The subgroup of order $n$ of a transitive group of degree $n$ and class $n-1$

Louis Weisner; 84-87

Identities analogous to Ramanujan’s identities involving the parition function

Herbert S. Zuckerman; 88-110

Hereditary arc sums

O. G. Harrold, Jr.; 111-117

A generalization of Picard’s and related theorems

Raphael M. Robinson; 118-132

Certain equivalences and subsets of a plane

F. Burton Jones; 133-145

The maps determined by the principal curves associated with five and six points in the plane

C. Ronald Cassity; 146-163

Functions which assume rational values at rational points

J. W. Green; 164-171

A remark on the normal decompositions of groups

Oystein Ore; 172-173

On imbedding a space in a complete space

L. W. Cohen; 174-183

The Jacobi condition and the index theorem in the calculus of variations

E. J. McShane; 184-206

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