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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A density theorem on automorphic $L$-functions and some applications
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by Yuk-Kam Lau and Jie Wu PDF
Trans. Amer. Math. Soc. 358 (2006), 441-472 Request permission

Abstract:

We establish a density theorem on automorphic $L$-functions and give some applications on the extreme values of these $L$-functions at $s=1$ and the distribution of the Hecke eigenvalue of holomorphic cusp forms.
References
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Additional Information
  • Yuk-Kam Lau
  • Affiliation: Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
  • Email: yklau@maths.hku.hk
  • Jie Wu
  • Affiliation: Institut Elie Cartan, UMR 7502 UHP-CNRS-INRIA, Université Henri Poincaré, 54506 Vandœuvre-lès-Nancy, France
  • Email: wujie@iecn.u-nancy.fr
  • Received by editor(s): November 8, 2003
  • Received by editor(s) in revised form: June 23, 2004
  • Published electronically: August 1, 2005
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 358 (2006), 441-472
  • MSC (2000): Primary 11F67, 11F30
  • DOI: https://doi.org/10.1090/S0002-9947-05-03774-8
  • MathSciNet review: 2171241