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 16, Number 1

#### Publication Date: March 1949

Groups with descending chain condition for normal subgroups

Reinhold Baer; 1-22

Fields of parallel vectors in projectively flat spaces

Jack Levine; 23-32

The homology groups of the fibre bundles over a sphere

Hsien-Chung Wang; 33-38

Neofields

Lowell J. Paige; 39-60

Convergence in area

Law of transformation for essential generalized Jacobians

Paul V. Reichelderfer; 73-83

An extension of Ramanujan’s sum

Eckford Cohen; 85-90

The zeros of certain real rational and meromorphic functions

Morris Marden; 91-97

The number of positive integers $\leq x$ and free of prime divisors $> x^c$, and a problem of S. S. Pillai

V. Ramaswami; 99-109

Convergence in area and convergence in volume

R. G. Helsel; 111-118

The lower bound of the order of a product set of polynomials

M. T. Eweida; 119-123

The zeros of the Jacobi polynomials and the corresponding Christoffel numbers

Louis H. Kanter; 125-130

Some properties of $L$-sets in the plane

Alfred Horn and F. A. Valentine; 131-140

Endelements and the inversion of continua

A. D. Wallace; 141-144

Basic sets of polynomials. II

R. P. Boas, Jr.; 145-149

Banach algebras of bounded functions

Bertram Yood; 151-163

The kernel function and canonical conformal maps

Zeev Nehari; 165-178

An extremal property of monotone-light factorizations

Earl J. Mickle; 179-187

The mean convergence of orthogonal series. III

Harry Pollard; 189-191