A note on the mean value of the zeta and \(L\)-functions. IX

DOI10.3792/pjaa.75.147zbMath0942.11039OpenAlexW2042880267MaRDI QIDQ1969173

Yoichi Motohashi

Publication date: 22 June 2000

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.75.147

zbMATH Keywords

Fourier cosine transformRiemann zeta-functionLegendre functionsHecke seriesdiscrete spectrum of the hyperbolic Laplacian

Mathematics Subject Classification ID

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

Related Items (2)

Higher moments of certain \(L\)-functions on the critical line ⋮ A note on the mean value of the zeta and \(L\)-functions. XI

Cites Work

• Kuznetsov formulas for real rank one groups
• On sums of Hecke series in short intervals
• On the distribution of prime numbers which are of the form $x^2 + y^2 +1$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on the mean value of the zeta and \(L\)-functions. IX