On the Moments of the Function E*(t)

Aleksandar Ivić^1,

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

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

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.

Keywords:
Riemann zeta-function moments of the function E*(t) large values

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