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Lower order terms in the full moment conjecture for the Riemann zeta function |
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| Authors: | J.B. Conrey D.W. Farmer M.O. Rubinstein N.C. Snaith |
| Affiliation: | a American Institute of Mathematics, 360 Portage Avenue, Palo Alto, CA 94306, USA b School of Mathematics, University of Bristol, Bristol BS8 1TW, UK c Pure Mathematics, University of Waterloo, 200 University Ave. W, Waterloo, ON, Canada N2L 3G1 |
| 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 favor of the conjecture. |
| Keywords: | L-functions Random matrix theory Moments |
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