Moments of the Riemann zeta function

• 成果类型: Article
• 署名作者: Soundararajan, Kannan
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.170.981
• 发表日期: 2009
• 页码: 981-993
• 关键词: random-matrix theory; fractional moments; Lower bounds; mean-values

摘要

Assuming the Riemann hypothesis, we obtain an upper bound for the moments of the Riemann zeta function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments. The method extends to moments in other families of L-functions.