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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2011 Volume 89, Issue 1, Pages 70–81 (Mi mzm8491)
This article is cited in 4 papers

A Growth Estimate for the Mellin Transform of the Riemann Zeta Function

A. Laurinčikasab

a Institute of Mathematics and Informatics, Vilnius, Lithuania
b Vilnius University

Abstract: In this paper, we obtain an upper bound for the modified Mellin transform of the Riemann zeta function on the critical strip.

Keywords: Riemann zeta function, Mellin transform, meromorphic continuation, Atkinson's formula, Cauchy's inequality.

UDC: 511

Received: 30.10.2008

DOI: 10.4213/mzm8491


 English version: Mathematical Notes, 2011, 89:1, 82–92

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