THE FISHER-HARTWIG CONJECTURE AND GENERALIZATIONS

被引：77

作者：

BASOR, EL

TRACY, CA

机构：

[1] UNIV CALIF DAVIS, DEPT MATH, DAVIS, CA 95616 USA

[2] UNIV CALIF DAVIS, INST THEORET DYNAM, DAVIS, CA 95616 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1991年 / 177卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0378-4371(91)90149-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the status of the Fisher-Hartwig conjecture concerning the asymptotic expansion of a class of Toeplitz determinants with singular generating functions. A counterexample is given for a nonrational generating function; and we formulate a generalized Fisher-Hartwig conjecture.

引用

页码：167 / 173

页数：7

共 44 条

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