Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Distribution of Hecke eigenvalues

Author: Hirofumi Nagoshi
Journal: Proc. Amer. Math. Soc. 134 (2006), 3097-3106
MSC (2000): Primary 11F30, 11K99
Posted: 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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