Proceedings of the American Mathematical Society

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

Lower bounds for moments of automorphic -functions over short intervals

Author(s): Guanghua Ji
Journal: Proc. Amer. Math. Soc. 137 (2009), 3569-3574.
MSC (2000): Primary 11F66, 11M26, 11M41
Posted: June 15, 2009
MathSciNet review: 2529862
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: Let $L(s,\pi)$ be the principal -function attached to an irreducible unitary cuspidal automorphic representation $\pi$ of $GL_m(\mathbb{A}_\mathbb{Q})$ . The aim of the paper is to give a simple method to show the lower bounds of mean value for automorphic -functions over short intervals.

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