On the mean square of the periodic zeta-function. II

Sondra Černigova; Antanas Laurinčikas

doi:10.15388/NA.2015.1.7

Articles

Sondra Černigova

Vilnius University

Antanas Laurinčikas

Vilnius University

Published 2015-01-20

https://doi.org/10.15388/NA.2015.1.7

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Keywords

periodic zeta-function
Riemann zeta-function
the Atkinson formula

How to Cite

Černigova S. and Laurinčikas A. (2015) “On the mean square of the periodic zeta-function. II”, Nonlinear Analysis: Modelling and Control, 20(1), pp. 99-111. doi: 10.15388/NA.2015.1.7.

Abstract

In the paper, the error term in the Atkinson type formula for the periodic zeta-function in the critical strip is considered, and an asymptotic formula for its mean square is obtained. This formula generalizes that proved for the Riemann zeta-function.

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