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 77, Number 3

Publication Date: March 1995

Explicit construction of self-dual $4$-manifolds

Dominic D. Joyce; 519-552

Hodge classes and Tate classes on simple abelian fourfolds

B. J. J. Moonen and Yu. G. Zarhin; 553-581

On Waring’s problem for four cubes

Jörg Brüdern and Nigel Watt; 583-606

Local indices of $p$-adic differential operators corresponding to Artin-Schreier-Witt coverings

Shigeki Matsuda; 607-625

Perturbations of the rotation $C^{\ast}$-algebras and of the Heisenberg commutation relation

Uffe Haagerup and Mikael Rørdam; 627-656

Hyperbolic operators with non-Lipschitz coefficients

Ferruccio Colombini and Nicolas Lerner; 657-698

The asymptotics of a lattice point problem associated to a finite number of polynomials II

Ben Lichtin; 699-751

On Spin $L$-functions for orthogonal groups

David Ginzburg; 753-798

$L^{\infty}$-norms of eigenfunctions for arithmetic hyperbolic $3$-manifolds

Shin-Ya Koyama; 799-817