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 91, Number 1

#### Publication Date: 15 January 1998

Linear dilatation of quasiconformal maps in space

Pasi Seittenranta; 1-16

Serrin’s result for hyperbolic space and sphere

S. Kumaresan and Jyotshana Prajapat; 17-28

Serrin’s result for domains with a corner or cusp

Jyotshana Prajapat; 29-31

The horizontal distribution of zeros of $\zeta\prime(s)$

K. Soundararajan; 33-59

The Diophantine equation $Ax^p+By^q=Cz^r$

Frits Beukers; 61-88

Multivariable $q$-Racah polynomials

J. F. van Diejen and J. V. Stokman; 89-136

Group cohomology and the symplectic structure on the moduli space of representations

K. Guruprasad and C. S. Rajan; 137-149

On fluctuations of eigenvalues of random Hermitian matrices

Kurt Johansson; 151-204

A short proof of the integrality of the Macdonald $(q,t)$-Kostka coefficients

Luc Lapointe and Luc Vinet; 205-214