On the estimation of Z2(s)
Aleksandar Ivić
Abstract
Estimates for Z2(s) = ∫1|infty |ζ(1/2+ix)|4x-sdx ( s > 1) are discussed, both pointwise and in mean square. It is shown how these estimates can be used to bound E2(T), the error term in the asymptotic formula for ∫0T |ζ(1/2+it)|4dt.
Create a lesson
Related papers
An ergodic approach to equations of the form x+y=α(n)
Vitaly Bergelson, Hao Pan, Saúl Rodríguez Martín
Rogers--Ramanujan identities from the geometry of Xa=Yb
Yifeng Huang, Kenny Lau, Ken Ono
Computational results on sums of a prime with squares or cubes
Kenny Applegate, Kyle Pratt
Finding New Limit Points of Mahler Measure by Methods of Missing Data Restoration
Jean-Marc Sac-Épée, Souad El Otmani, Armand Maul et al.
Low moments of automorphic random multiplicative function sums
Sun-Kai Leung
A problem of Yang and Chen on weighted representation functions
Shuang-Shuang Li, Ya-Ting Xu, Xiao-Hui Yan