The second shifted moment of the Riemann zeta function

Sandro Bettin

The second shifted moment of the Riemann zeta function

Number Theory 2011-11-04 v1

Authors: Sandro Bettin

Abstract

We prove an asymptotic formula for the second moment (up to height $T$ ) of the Riemann zeta function with two shifts. The case we deal with is where the real parts of the shifts are very close to zero and the imaginary parts can grow up to $T^{2-\epsilon}$ , for any $\epsilon>0.$

Keywords

Riemann zeta function shifted moments asymptotic formula analytic number theory moments of L-functions

Cite

@article{arxiv.1111.0925,
  title  = {The second shifted moment of the Riemann zeta function},
  author = {Sandro Bettin},
  journal= {arXiv preprint arXiv:1111.0925},
  year   = {2011}
}

Comments

10 pages

Related papers

View all related →