A spectral decomposition of the product of four zeta-values

DOI10.3792/pjaa.65.143zbMath0684.10036OpenAlexW2091036863MaRDI QIDQ1825237

Yoichi Motohashi

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.143

zbMATH Keywords

Riemann zeta-functionanalytic continuationcritical linefourth power momentKuznetsov's trace formulaHecke's L-series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

A note on the mean value of the zeta and L-functions. VI ⋮ An explicit formula for the fourth power mean of the Riemann zeta- function

Cites Work

• Unnamed Item
• A note on the mean value of the zeta and L-functions. IV, V
• The mean-value of the Riemann zeta function
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS