eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-07-14 2 3 102 109 10.12691/tjant-2-3-9 TJANT2014239 article Aleksandar Ivi? ivic@rgf.bg.ac.rs, aivic 2000@yahoo.com 1 Aleksandar Ivi?, Katedra Matematike RGF-A, Universitet U Beogradu, Du?ina, Beograd, Serbia 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. http://pubs.sciepub.com/tjant/2/3/9/tjant-2-3-9.pdf Riemann zeta-function moments of the function E*(t) large values