A generalized square of the zeta function. Spectral decompositions

被引：0

作者：

Vinogradov A.I. ^{[1
]}

机构：

[1] St. Petersburg Department, Steklov Mathematical Institute, St. Petersburg

来源：

Journal of Mathematical Sciences | 2006年 / 137卷 / 2期

关键词：

Functional Equation; Spectral Function; Zeta Function; Spectral Decomposition; Dirichlet Series;

D O I：

10.1007/s10958-006-0258-8

中图分类号：

学科分类号：

摘要：

The spectral decomposition for the square of the classical Riemann zeta function ζ2(s) is generalized to the case of the product of two such functions ζ(s1) • ζ(s2) of different arguments. Bibliography: 6 titles. © 2006 Springer Science+Business Media, Inc.

引用

页码：4617 / 4633

页数：16

共 7 条

[1]

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[2]

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[3]

Titchmarsh E.C., The Theory of the Riemann Zeta Function, (1951)

[4]

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[5]

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[6]

Bateman H., Erdelyi A., Higher Trancendental Functions, 2, (1953)

[7]

Kuznetsov N.V., The Peterson conjecture for parabolic forms of weight zero and the Linnik conjecture. I. A sum of Kloostermann sums, Mat. Sb., 3, 3, pp. 334-383, (1980)

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