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 104, Number 1

#### Publication Date: 15 July 2000

On the set-theoretical Yang-Baxter equation

Jiang-Hua Lu, Min Yan and Yong-Chang Zhu; 1-18

Kirillov theory for ${\rm GL}\sb 2(\mathscr {D})$ where $\mathscr {D}$ is a division algebra over a non-Archimedean local field

Dipendra Prasad and A. Raghuram; 19-44

On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture

Haseo Ki and Young-One Kim; 45-73

Abel-Jacobi mappings and finiteness of motivic cohomology groups

Kanetomo Sato; 75-112

Carleman inequalities and the heat operator

Luis Escauriaza; 113-127

Paneitz-type operators and applications

Zindine Djadli, Emmanuel Hebey and Michel Ledoux; 129-169

The Gauss map and a noncompact Riemann-Roch formula for constructible sheaves on semiabelian varieties

J. Franecki and M. Kapranov; 171-180