The Voronoi identity via the Laplace transform

被引：3

作者：

Ivic, A ^{[1
]}

机构：

[1] Univ Belgrade, Katedra Matemat RGFA, YU-11000 Belgrade, Yugoslavia

来源：

RAMANUJAN JOURNAL | 1998年 / 2卷 / 1-2期

关键词：

Voronoi identity; number of divisors; Laplace transform; Bessel functions; Fourier coefficients of cusp forms;

D O I：

10.1023/A:1009753723245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical Voronoi identity [GRAPHICS] is proved in a relatively simple way by the use of the Laplace transform. Here Delta(x) denotes the error term in the Dirichlet divisor problem, d(n) is the number of divisors of n and K-1, Y-1 are the Bessel functions. The method of proof may be used to yield other identities similar to Voronoi's.

引用

页码：39 / 45

页数：7

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