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

Autor:	Jon P Keating, Nina C Snaith, David W. Farmer, Michael O. Rubinstein, J. B. Conrey
Rok vydání:	2008
Předmět:	Moments Pure mathematics Particular values of Riemann zeta function Explicit formulae FOS: Physical sciences Proof of the Euler product formula for the Riemann zeta function 01 natural sciences Random matrix theory Riemann Xi function symbols.namesake Arithmetic zeta function L-functions 0103 physical sciences FOS: Mathematics Number Theory (math.NT) 0101 mathematics 010306 general physics Mathematical Physics Mathematics Algebra and Number Theory Mathematics - Number Theory 010102 general mathematics Mathematical analysis 15A52 Mathematical Physics (math-ph) Prime-counting function Riemann zeta function 11M06 Riemann hypothesis symbols
Zdroj:	Journal of Number Theory. 128(6):1516-1554
ISSN:	0022-314X
DOI:	10.1016/j.jnt.2007.05.013
Popis:	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. 37 pages, 4 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::142f0a8666d66302c7be924ad7286bd0 Zobrazit plný text záznamu Full Text from ScienceDirect