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 15, Number 2

Publication Date: June 1948

Lie groups of genus one

Jack Levine; 307-311

The complete monotonicity of certain functions derived from completely monotone functions

J. Barkley Rosser; 313-331

Integral representations of remainders

Arthur Sard; 333-345

Preservation of divisibility in quotient groups

F. Haimo; 347-356

Quaternion algebras

Claiborne G. Latimer; 357-366

Rings with additive group which is the direct sum of cyclic groups

Ross A. Beaumont; 367-369

Definite integral systems

Hyman J. Zimmerberg; 371-388

The role of the directrix in Levi-Civita parallelism

Paul B. Johnson; 389-405

The real elliptic $\vartheta_3$-function

Aurel Wintner; 407-411

The zeros of the derivatives of the real elliptic $\vartheta_3$-function

Philip Hartman; 413-420

Gradient mappings and extrema in Banach spaces

E. H. Rothe; 421-431

Expressing a function of three variables in nomograph form

David F. Barrow; 433-437

Characteristic roots and the field of values of a matrix

W. V. Parker; 439-442

Diophantine problems in geometry and elliptic ternary forms

Gerald B. Huff; 443-453

The generalized Laplace equations in a function theory for commutative algebras

Raphael D. Wagner; 455-461

A normal form for matrices whose elements are holomorphic functions

William G. Leavitt; 463-472

A new representation and inversion theory for the Laplace integral

I. I. Hirschman, Jr.; 473-494

The radical of a ring

Bailey Brown and Neal H. McCoy; 495-499

Sums of an odd number of squares in $GF[p^n, x]$

Eckford Cohen; 501-511

The additive properties of integers of a certain class

L. Mirsky; 513-533

Kernel functions in the theory of partial differential equations of elliptic type

S. Bergman and M. Schiffer; 535-566

Value distribution of a meromorphic function of two complex variables on non-analytic manifolds

Josephine Mitchell; 567-591

Corrections to “La puissance de certaines classes de fonctions”

F. Obreanu; 593

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