ON SOME TRIGONOMETRIC AND EXPONENTIAL LATTICE SUMS

被引：6

作者：

BORWEIN, D ^{[1
]}

BORWEIN, JM ^{[1
]}

机构：

[1] SIMON FRASER UNIV,DEPT MATH & STAT,BURNABY V5A 1S6,BC,CANADA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 188卷 / 01期

关键词：

D O I：

10.1006/jmaa.1994.1422

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Certain two-dimensional trigonometric lattice series, the ordinary convergence of which involves unresolved questions of a deep and delicate number-theoretic nature, are shown to be summable by a special Abelian method and their Abelian sums are obtained. This is done by first evaluating an absolutely convergent exponential lattice series and then analytically extending its sum. (C) 1994 Academic Press, Inc.

引用

页码：209 / 218

页数：10