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 13, Number 1

#### Publication Date: March 1946

Fourier coefficients of dominant functions

Paul Civin; 1-7

Rings with unit element which contain a given ring

Bailey Brown and Neal H. McCoy; 9-20

The topology of pseudo-harmonic functions

Marston Morse; 21-42

The summability $(C,1-\epsilon)$ of Fourier series

Fu Cheng Hsiang; 43-50

Fiberings with singularities

Deane Montgomery and Hans Samelson; 51-56

The Fréchet differentials of regular power series in normed linear spaces

A. D. Michal; 57-59

The fundamental solution of the parabolic equation, II

F. G. Dressel; 61-70

Remarks on the Carlitz $\psi$-functions

Transcendence properties of the Carlitz $\psi$-functions

Some properties of solutions of partial differential equations given by their series development

Josephine Mitchell; 87-104

Simultaneous Diophantine approximation

H. Davenport and K. Mahler; 105-111

Roots of equations by functional iteration

Hugh J. Hamilton; 113-121

A skew quartic associated with a tetrahedron

N. A. Court; 123-128