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

25 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

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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10.1016/j.jnt.2007.05.013

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

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FELLOWSHIP- RANDOM MATRIX THEORY AND NUMBER THEORY
Snaith, N. C. (Principal Investigator)
1/10/04 → 1/04/10
Project: Research
VALUES OF L-FUNCTIONS & RANDOM MATRIX THEORY - SENIOR FELLOWSHIP
French, P. E. (Principal Investigator)
1/10/04 → 1/10/09
Project: Research

Cite this

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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",

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journal = "Journal of Number Theory",

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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)

SN - 0022-314X

VL - 128

SP - 1516

EP - 1554

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 6

ER -

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

Abstract

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Projects

FELLOWSHIP- RANDOM MATRIX THEORY AND NUMBER THEORY

VALUES OF L-FUNCTIONS & RANDOM MATRIX THEORY - SENIOR FELLOWSHIP

Cite this