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ON THE RANKIN–SELBERG ZETA FUNCTION

Part of: Real functions Integral transforms, operational calculus Multiplicative number theory

Published online by Cambridge University Press:  19 September 2012

ALEKSANDAR IVIĆ
ALEKSANDAR IVIĆ*
Affiliation:
Katedra Matematike RGF-a, Universitet u Beogradu, Đušina 7, 11000 Beograd, Serbia (email: ivic@rgf.bg.ac.rs, aivic@matf.bg.ac.rs)
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Abstract

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We obtain the approximate functional equation for the Rankin–Selberg zeta function in the critical strip and, in particular, on the critical line $\operatorname {Re} s= \frac {1}{2}$.

Keywords

Rankin–Selberg zeta functionapproximate functional equation

MSC classification

Secondary: 11N37: Asymptotic results on arithmetic functions 44A15: Special transforms (Legendre, Hilbert, etc.) 26A12: Rate of growth of functions, orders of infinity, slowly varying functions

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 101 - 113
Copyright
Copyright © 2012 Australian Mathematical Publishing Association Inc.

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