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

DOI10.3792/pjaa.78.36zbMath1106.11305OpenAlexW2085253996MaRDI QIDQ1608302

Yoichi Motohashi

Publication date: 4 August 2002

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1148392748

zbMATH Keywords

Bessel functions of representationsGamma functions of representationslocal functional equations of Jacquet-LanglandsMean values of zeta-functions

Mathematics Subject Classification ID

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

Related Items (11)

A note on the mean value of the zeta and \(L\)-functions. XIV ⋮ Higher moments of certain \(L\)-functions on the critical line ⋮ On the Fourier transform of Bessel functions over complex numbers. I: The spherical case ⋮ A Vorono\xEF–Oppenheim summation formula for number fields ⋮ A note on the mean value of the zeta and \(L\)-functions. XV ⋮ The spectral decomposition of shifted convolution sums ⋮ Bessel identities in the Waldspurger correspondence over the real numbers ⋮ Twisted \(L\)-functions over number fields and Hilbert's eleventh problem ⋮ Bessel identities in the Waldspurger correspondence over the complex numbers ⋮ The classical Hankel transform in the Kirillov model of the discrete series ⋮ A note on the mean value of the zeta and \(L\)-functions. XIII.

Cites Work

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• A note on the mean value of the zeta and \(L\)-functions. X.
• Automorphic forms on GL (2)

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