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The Sato-Tate conjecture on average for small angles

Author(s): Stephan Baier; Liangyi Zhao
Journal: Trans. Amer. Math. Soc. 361 (2009), 1811-1832.
MSC (2000): Primary 11G05
Posted: October 31, 2008
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Abstract | References | Similar articles | Additional information

Abstract: We obtain average results on the Sato-Tate conjecture for elliptic curves for small angles.

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Additional Information:

Stephan Baier
Affiliation: Department of Mathematics and Statistics, Queen's University, University Ave., Kingston, Ontario, Canada K7L 3N6
Address at time of publication: School of Engineering and Sciences, Jacobs University, P.O. Box 750 561, Bremen 28725 Germany
Email: sbaier@mast.queensu.ca

Liangyi Zhao
Affiliation: Department of Mathematics, University of Toronto, 40 Saint George Street, Toronto, Ontario, Canada M5S 2E4
Address at time of publication: Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371
Email: lzhao@math.toronto.edu

DOI: 10.1090/S0002-9947-08-04498-X
PII: S 0002-9947(08)04498-X
Keywords: Sato-Tate conjecture, average Frobenius distribution
Received by editor(s): August 15, 2006
Received by editor(s) in revised form: February 12, 2007
Posted: October 31, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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