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 10, Number 3

#### Publication Date: September 1943

The behavior of Euler’s product on the boundary of convergence

Aurel Wintner; 429-440

Topological groups as subgroups of linear topological spaces

R. C. James; 441-453

The linear yield condition in the plane plasticity problem

N. Coburn; 455-462

Diophantine equations reducible in biquadratic fields

E. Rosenthall; 463-470

Minimizing an integral on a class of continuous curves

George M. Ewing; 471-477

Limits to the characteristic roots of a matrix

W. V. Parker; 479-482

Ramanujan’s function $\tau(n)$

D. H. Lehmer; 483-492

The factorization of rank tensors

Systems of quadrics associated with a point of a surface, I

George Wu; 499-513

Systems of quadrics associated with a point of a surface, II

George Wu; 515-530

Some remarks on subharmonic functions

A theorem of Fédoroff and Binney

Projective differential geometry of a pair of plane curves

Chuan-Chih Hsiung; 539-546

An integral inequality

Richard Bellman; 547-550

Convergence of non-harmonic Fourier series

Richard Bellman; 551-552

Semi-nilpotent ideals

Jakob Levitzki; 553-556

The axial quadrics of a surface

L. Green; 557-564

A projective invariant of a non-holonomic surface

Hsien-Chung Wang; 565-574

The projective differential geometry of a non-holonomic hypersurface

Buchin Su; 575-586

Certain quantities transcendental over $GF(p^n,x)$, II