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 46, Number 4

Publication Date: December 1979

Galois groups of enumerative problems

Joe Harris; 685-724

An analogue of Weyl’s formula for unbounded domains III. An epilogue

Andrew Majda and James Ralston; 725-731

$W^\ast$ -dynamical systems satisfying a spectrum condition

Jon Kraus; 733-743

Kummer theory on extensions of abelian varieties by tori

Kenneth A. Ribet; 745-761

The extreme points of some classes of holomorphic functions

Frank Forelli; 763-772

Reduction theory and $K_3$ of the Gaussian integers

R. E. Staffeldt; 773-798

Note on the decay of acoustic waves

James Ralston; 799-804

Irreducible characters of semisimple Lie groups II. The Kazhdan-Lusztig conjectures

David A. Vogan, Jr.; 805-859

The index of the Hecke ring, $\mathrm{T}_k$, in the ring of integers of $\mathrm{T}_k \otimes \mathbf{Q}$

Naomi Jochnowitz; 861-869

A note on three lemmas of Shimura

Michael Harris; 871-879

Corrections: The relationship between the index of a strongly stable periodic linear Hamiltonian vectorfield and the index of its stability domain

Richard Cushman; 881-882