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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nonvanishing of symmetric square $L$-functions of cusp forms inside the critical strip
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by Winfried Kohnen and Jyoti Sengupta PDF
Proc. Amer. Math. Soc. 128 (2000), 1641-1646 Request permission

Abstract:

We shall give a certain nonvanishing result for the symmetric square $L$-function of an elliptic cuspidal Hecke eigenform w.r.t. the full modular group inside the critical strip.
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Additional Information
  • Winfried Kohnen
  • Affiliation: Universität Heidelberg, Mathematisches Institut, Im Neuenheimer, Feld 288, D-69120 Heidelberg, Germany
  • Email: winfried@mathi.uni-heidelberg.de
  • Jyoti Sengupta
  • Affiliation: School of Mathematics, Tata Institute for Fundamental Research, Homi Bhabha Road, Bombay 400 005, India
  • Email: sengupta@math.tifr.res.in
  • Received by editor(s): July 31, 1998
  • Published electronically: September 30, 1999
  • Communicated by: Dennis A. Hejhal
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1641-1646
  • MSC (2000): Primary 11Fxx
  • DOI: https://doi.org/10.1090/S0002-9939-99-05419-2
  • MathSciNet review: 1676328