Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

A density theorem on automorphic $L$-functions and some applications


Authors: Yuk-Kam Lau and Jie Wu
Journal: Trans. Amer. Math. Soc. 358 (2006), 441-472
MSC (2000): Primary 11F67, 11F30
Posted: August 1, 2005
MathSciNet review: 2171241
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 11F67, 11F30

Retrieve articles in all journals with MSC (2000): 11F67, 11F30


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 Vandouvre-lès-Nancy, France
Email: wujie@iecn.u-nancy.fr

DOI: http://dx.doi.org/10.1090/S0002-9947-05-03774-8
PII: S 0002-9947(05)03774-8
Keywords: Special values of automorphic $L$-series, Fourier coefficients of automorphic forms
Received by editor(s): November 8, 2003
Received by editor(s) in revised form: June 23, 2004
Posted: August 1, 2005
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia