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

DOI10.3792/pjaa.77.111zbMath1049.11124OpenAlexW2088799037MaRDI QIDQ696366

Yoichi Motohashi, Roelof Wichert Bruggeman

Publication date: 12 September 2002

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.77.111

zbMATH Keywords

Zeta-functionKloosterman sumspectral decompositionimaginary quadratic fieldautomorphic representationsum formula

Mathematics Subject Classification ID

Quadratic extensions (11R11) Zeta functions and (L)-functions of number fields (11R42) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

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

Cites Work

• Kuznetsov formulas for real rank one groups
• A note on the mean value of the zeta and L-functions. VIII
• Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field
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