A note on the mean value of the zeta and L-functions. XIII

R.W. Bruggeman; Y. Motohashi

doi:10.3792/pjaa.78.87

A note on the mean value of the zeta and L-functions. XIII

R.W. Bruggeman
, Y. Motohashi

Nihon University

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Extending the discussion in the previous note [6] of this series, the group PSL2(C) will be dealt with in place of PSL2(R). We shall indicate that the functional structure that supports the spectral theory of Kloosterman sums in the complex case is essentially the same as in the real case, though it is more involved as can be expected.

Original language	English
Pages (from-to)	87-91
Number of pages	5
Journal	Proceedings of the Japan Academy. Series A, mathematical sciences
Volume	78
Issue number	6
DOIs	https://doi.org/10.3792/pjaa.78.87
Publication status	Published - 2002

Keywords

Mathematics
Wiskunde en computerwetenschappen
Landbouwwetenschappen
Wiskunde: algemeen
Mean values of zeta-functions
local functional equations of Jacquet-Langlands
Gamma-functions of representations
Bessel functions of representations

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02BrMo_note-XIIIFinal published version, 185 KB

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abstract = "Extending the discussion in the previous note [6] of this series, the group PSL2(C) will be dealt with in place of PSL2(R). We shall indicate that the functional structure that supports the spectral theory of Kloosterman sums in the complex case is essentially the same as in the real case, though it is more involved as can be expected.",

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KW - local functional equations of Jacquet-Langlands

KW - Gamma-functions of representations

KW - Bessel functions of representations

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A note on the mean value of the zeta and L-functions. XIII

Abstract

Keywords

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