Distribution of Hecke eigenvalues

Author:
Hirofumi Nagoshi

Journal:
Proc. Amer. Math. Soc. **134** (2006), 3097-3106

MSC (2000):
Primary 11F30, 11K99

DOI:
https://doi.org/10.1090/S0002-9939-06-08709-0

Published electronically:
June 5, 2006

MathSciNet review:
2231890

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Abstract | References | Similar Articles | Additional Information

Abstract: We give two results concerning the distribution of Hecke eigenvalues of $SL(2, \mathbb {Z})$. The first result asserts that on certain average the Sato-Tate conjecture holds. The second result deals with the Gaussian central limit theorem for Hecke eigenvalues.

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Additional Information

**Hirofumi Nagoshi**

Affiliation:
Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan

Email:
nagoshih@ybb.ne.jp

Received by editor(s):
March 10, 2003

Received by editor(s) in revised form:
March 26, 2004

Published electronically:
June 5, 2006

Communicated by:
Wen-Ching Winnie Li

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.