arXiv:math/0612843 Abstract

arXiv:math/0612843 [math.NT]Abstract References Reviews Resources

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

J. Brian Conrey, David W. Farmer, Jon P. Keating, Michael O. Rubinstein, Nina C. Snaith

Published 2006-12-29, updated 2008-01-23Version 4

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.

Comments: 37 pages, 4 figures

Categories: math.NT, math-ph, math.MP

Subjects: 11M06, 15A52

Keywords: riemann zeta function, full moment conjecture, lower order terms, obtaining explicit expressions, lower terms

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