Duke Mathematical Journal

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 89, Number 1

Publication Date: 15 July 1997

On a generalization of the double coset formula

Andrei Paraschivescu; 1-8

Geometric construction of crystal bases

Masaki Kashiwara and Yoshihisa Saito; 9-36

Explicit Siegel theory: An algebraic approach

Lynne H. Walling; 37-74

Geodesic intersections in arithmetic hyperbolic $3$-manifolds

Kerry N. Jones and Alan W. Reid; 75-86

Yamabe spectra

Alexander G. Reznikov; 87-94

Highly ramified pencils of elliptic curves in characteristic $2$

Ernst-Ulrich Gekeler; 95-107

Edge-of-the-wedge type theorems for hyperfunction solutions

Kiyoshi Takeuchi; 109-132

On-diagonal lower bounds for heat kernels and Markov chains

Thierry Coulhon and Alexander Grigor’yan; 133-199

Correction to “On the monodromy groups attached to certain families of exponential sums”

Nicholas Katz; 201