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

2006/12/29 by J. Brian Conrey, David W. Farmer, Conrey, J. Brian +7
Mathematics · #11M06 #15A52 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0612843

openalex publication_date 2006/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 favour of the conjecture.

Related

• Computing the moment polynomials of the zeta function
• The 4.36-th moment of the Riemann zeta-function
• Uniform asymptotics for the full moment conjecture of the Riemann zeta\n function
• Combinatorics of lower order terms in the moment conjectures for the Riemann zeta function
• Moments of the Riemann zeta-function