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

JB Conrey; DW Farmer; JP Keating; M Rubinstein; NC Snaith

doi:10.1016/j.jnt.2007.05.013

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

JB Conrey, DW Farmer, JP Keating, M Rubinstein, NC Snaith

Research output: Contribution to journal › Article (Academic Journal) › peer-review

24 Citations (Scopus)

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

Translated title of the contribution	Lower order terms in the full moment conjecture for the Riemann zeta function
Original language	English
Pages (from-to)	1516 - 1554
Number of pages	39
Journal	Journal of Number Theory
Volume	128
Issue number	6
DOIs	https://doi.org/10.1016/j.jnt.2007.05.013
Publication status	Published - Jun 2008

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http://www.sciencedirect.com/science/article/pii/S0022314X0700145X

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title = "Lower order terms in the full moment conjecture for the Riemann zeta function",

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",

author = "JB Conrey and DW Farmer and JP Keating and M Rubinstein and NC Snaith",

year = "2008",

month = jun,

doi = "10.1016/j.jnt.2007.05.013",

language = "English",

volume = "128",

pages = "1516 -- 1554",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press",

number = "6",

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TY - JOUR

T1 - Lower order terms in the full moment conjecture for the Riemann zeta function

AU - Conrey, JB

AU - Farmer, DW

AU - Keating, JP

AU - Rubinstein, M

AU - Snaith, NC

PY - 2008/6

Y1 - 2008/6

N2 - 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

AB - 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

U2 - 10.1016/j.jnt.2007.05.013

DO - 10.1016/j.jnt.2007.05.013

M3 - Article (Academic Journal)

VL - 128

SP - 1516

EP - 1554

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 6

ER -

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

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