### Volume 48, Number 10

#### Publication Date: October 1942

Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 48, Number 10 (1942)

Some topics in the arithmetic of polynomials

L. Carlitz; 679-691

Differential equations with general boundary conditions

William M. Whyburn; 692-704

On the logarithmic means of rearranged partial sums of a Fourier series

Otto Szász; 705-711

The basic analogue of Kummer's theorem

J. A. Daum; 711-713

Perron integrals

R. L. Jeffery; 714-717

On Perron integration

E. J. McShane; 718-726

On the least primitive root of a prime

Loo-keng Hua; 726-730

On the least solution of Pell's equation

Loo-keng Hua; 731-735

A note on the diophantine problem of finding four biquadrates whose sum is a biquadrate

J. O. Patterson; 736-737

On the inversion of the $q$-series associated with Jacobian elliptic functions

A. N. Lowan, G. Blanch and W. Horenstein; 737-738

Table of the zeros of the Legendre polynomials of order 1-16 and the weight coefficients for Gauss' mechanical quadrature formula

Arnold N. Lowan, Norman Davids and Arthur Levenson; 739-743

Some remarks on relatively complete fields

Irving Kaplansky and O. F. G. Schilling; 744-747

A differential geometry problem using tensor analysis

Atherton H. Sprague; 747-751

On the nilpotency of the radical of a ring

Richard Brauer; 752-758

On an elementary analogue of the Riemann-Mangoldt formula

Aurel Wintner; 759-762

A note on the lower semi-continuity of double integrals in the parametric form

William Scott; 763-767

A non-involutorial space transformation associated with a $Q_{1,n}$ congruence

M. L. Vest; 767-773

Hausdorff means included between $\left( {C,0} \right)$ and $\left( {C,1} \right)$

Herbert J. Greenberg and H. S. Wall; 774-783

Whirl-similitudes, euclidean kinematics, and non-euclidean geometry

J. M. Feld; 783-790

Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 48, Number 10 (1942)