English

Lower order terms in the full moment conjecture for the Riemann zeta function

Number Theory 2008-01-23 v4 Mathematical Physics math.MP

Abstract

We describe an algorithm for obtaining explicit expressions for lower terms for the conjectured full asymptotics of the moments of the Riemann zeta function, and give two distinct methods for obtaining numerical values of these coefficients. We also provide some numerical evidence in favour of the conjecture.

Keywords

Cite

@article{arxiv.math/0612843,
  title  = {Lower order terms in the full moment conjecture for the Riemann zeta function},
  author = {J. Brian Conrey and David W. Farmer and Jon P. Keating and Michael O. Rubinstein and Nina C. Snaith},
  journal= {arXiv preprint arXiv:math/0612843},
  year   = {2008}
}

Comments

37 pages, 4 figures

R2 v1 2026-07-22T17:48:35.457Z