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 100, Number 3

Publication Date: 15 December 1999

On Weyl’s inequality, Hua’s lemma, and exponential sums over binary forms

Trevor D. Wooley; 373-423

The reduced Bautin index of planar vector fields

H. Hauser, J.-J. Risler and B. Teissier; 425-445

A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups

Bertram Kostant; 447-501

The analytic rank of $J_0 ( q )$ and zeros of automorphic $L$-functions

E. Kowalski and P. Michel; 503-542

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