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

Publication date

2002

Authors

Bruggeman, Roelof W.ORCID 0000-0002-6804-6211ISNI 0000000110040856
Motohashi, Y.

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Document Type

Article
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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.

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

Citation

Bruggeman, R W & Motohashi, Y 2002, 'A note on the mean value of the zeta and L-functions. XIII', Proceedings of the Japan Academy. Series A, mathematical sciences, vol. 78, no. 6, pp. 87-91. https://doi.org/10.3792/pjaa.78.87