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On the average of central values of symmetric square L-functions in weight aspect

Published online by Cambridge University Press:  22 January 2016

Winfried Kohnen  and
Jyoti Sengupta
Winfried Kohnen
Affiliation:
Universität Heidelberg Mathematisches Institut, INF 288 D-69120 Heidelberg, Germany, winfried@mathi.uni-heidelberg.de
Jyoti Sengupta
Affiliation:
T.I.F.R. School of Mathematics, Homi Bhabha Road 400 005 Bombay, India, sengupta@math.tifr.res.in
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Abstract

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It is proved that the central values of symmetric square L-functions of normalized Hecke eigenforms for the full modular group on average satisfy an analogue of the Lindelöf hypothesis in weight aspect, under the assumption that these values are non-negative.

Keywords

11F03
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 167 , 2002 , pp. 95 - 100
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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