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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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On simultaneous nonvanishing of the central $L$-values
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by Wenzhi Luo PDF
Proc. Amer. Math. Soc. 145 (2017), 4227-4231 Request permission

Abstract:

In this note we derive a new quantitative result on the simultaneous nonvanishing of the central $L$-values twisted by quadratic characters, for pairs of holomorphic cuspidal Hecke eigenforms with large weight $2k$.
References
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Additional Information
  • Wenzhi Luo
  • Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
  • MR Author ID: 260185
  • Email: wluo@math.ohio-state.edu
  • Received by editor(s): January 28, 2016
  • Received by editor(s) in revised form: November 6, 2016
  • Published electronically: April 6, 2017
  • Additional Notes: This research was partially supported by NSF grant DMS-1160647
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 4227-4231
  • MSC (2010): Primary 11F11, 11F37, 11F67
  • DOI: https://doi.org/10.1090/proc/13572
  • MathSciNet review: 3690608