Mixed moments of the Riemann zeta and Dirichlet \(L\)-functions

DOI10.1007/s00209-024-03657-8MaRDI QIDQ6660185

Ikuya Kaneko

Publication date: 10 January 2025

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionDirichlet \(L\)-functionsMotohashi's formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Modular and automorphic functions (11F03) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• An explicit formula for the fourth power mean of the Riemann zeta- function
• The cubic moment of central values of automorphic \(L\)-functions
• Twisted moments of \(L\)-functions and spectral reciprocity
• Motohashi’s fourth moment identity for non-archimedean test functions and applications
• The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound
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