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 59, Number 2

Publication Date: October 1989

Sharp polynomial bounds on the number of scattering poles

Maciej Zworski; 311-323

The Hampwile theorem for nonlinear eigenvalues

Martin Schechter; 325-335

The number of integral points on arcs and ovals

E. Bombieri and J. Pila; 337-357

Generalized Albanese varieties for surfaces in characteristic $p > 0$

Hurşit Önsiper; 359-364

Interactions involving gliding rays in boundary problems for semilinear wave equations

Mark Williams; 365-397

Iwasawa $L$-functions for multiplicative abelian varieties

John W. Jones; 399-420

Filtrations of $B$-modules

Olivier Mathieu; 421-442

On the linear representation of braid groups, II

D. D. Long; 443-460

Non-Kähler manifolds and ball-product cusp singularities

Shoetsu Ogata; 461-473

Green’s functions for the Schrödinger equation with short-range potentials

Ira W. Herbst and Zhongxin Zhao; 475-519

On Kollár’s vanishing theorems, I

Jerome William Hoffman; 521-535

Fanning curves of Lagrangian manifolds and geodesic flows

Shahla Ahdout; 537-552

On Artin’s conjecture and the class number of certain $CM$ fields, I

J. Hoffstein and N. Jochnowitz; 553-563

On Artin’s conjecture and the class number of certain $CM$ fields, II

J. Hoffstein and N. Jochnowitz; 565-584

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