Moments of the Riemann zeta function and Eisenstein series. I

DOI10.1016/j.jnt.2003.09.007zbMath1079.11041OpenAlexW4213073983MaRDI QIDQ597131

Daniel Bump, Jennifer E. Beineke

Publication date: 6 August 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.09.007

zbMATH Keywords

Eisenstein seriesRiemann zeta-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other groups and their modular and automorphic forms (several variables) (11F55) Automorphic forms, one variable (11F12)

Related Items (8)

Moments of the Riemann zeta function and Eisenstein series. II ⋮ A Vorono\xEF–Oppenheim summation formula for number fields ⋮ Voronoi-type identity for a class of arithmetical functions via the Laplace transform ⋮ A Voronoi-Oppenheim summation formula for totally real number fields ⋮ A summation formula for divisor functions associated to lattices ⋮ A summation formula for divisor functions associated to lattices ⋮ Voronoi summation formula for Gaussian integers ⋮ Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications

Cites Work

• Automorphic forms on GL(3,\({\mathbb{R}})\)
• Riemann's zeta-function and the divisor problem
• The mean-value of the Riemann zeta function
• Linear periods.
• A conjecture for the sixth power moment of the Riemann zeta-function
• The mean square of the Riemann zeta-function in the critical strip III
• The mean square of the Riemann zeta-function in the critical strip II
• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• Integral moments of L-functions
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