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T. Meurman, A generalization of Atkinson’s formula to L-functions, Acta Arith. 47(1986), 351-370.

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Article

On the Moments of the Function E*(t)

1Aleksandar Ivić, Katedra Matematike RGF-A, Universitet U Beogradu, Ðušina, Beograd, Serbia


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 3, 102-109
DOI: 10.12691/tjant-2-3-9
Copyright © 2014 Science and Education Publishing

Cite this paper:
Aleksandar Ivić. On the Moments of the Function E*(t). Turkish Journal of Analysis and Number Theory. 2014; 2(3):102-109. doi: 10.12691/tjant-2-3-9.

Correspondence to: Aleksandar  Ivić, Aleksandar Ivić, Katedra Matematike RGF-A, Universitet U Beogradu, Ðušina, Beograd, Serbia. Email: ivic@rgf.bg.ac.rs, aivic2000@yahoo.com

Abstract

Let denote the error term in the Dirichlet divisor problem, and the error term in the asymptotic formula for the mean square of If with then we discuss bounds for third, fourth and fifth power moment of We also prove that always changes sign in for and obtain (conditionally) the existence of its large positive, or small negative values.

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