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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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Non-existence of Siegel zeros for cuspidal functorial products on $GL(2) \times GL(3)$
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by Wenzhi Luo
Proc. Amer. Math. Soc. 151 (2023), 1915-1919
DOI: https://doi.org/10.1090/proc/16334
Published electronically: February 17, 2023

Abstract:

Let $\pi _{1}$ and $\pi _{2}$ be two cuspidal automorphic forms over a number field $\mathbf {F}$ on $GL(2)$ and $GL(3)$ respectively. In this work, we prove the non-existence of Siegel zeros for the automorphic $L$-function associated to a cuspidal functorial product $\pi _{1} \times \pi _{2}$.
References
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Bibliographic Information
  • Wenzhi Luo
  • Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
  • MR Author ID: 260185
  • ORCID: 0000-0003-4598-9572
  • Received by editor(s): May 20, 2022
  • Received by editor(s) in revised form: September 28, 2022, and October 21, 2022
  • Published electronically: February 17, 2023
  • Additional Notes: The research was partially supported by a Simons Foundation Collaboration Grant.
  • Communicated by: Amanda Folsom
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 1915-1919
  • MSC (2020): Primary 11F66, 11F55
  • DOI: https://doi.org/10.1090/proc/16334
  • MathSciNet review: 4556188