Equidistribution of Hecke eigenforms on the modular surface
نویسندگان
چکیده
منابع مشابه
8 Mass Equidistribution for Hecke Eigenforms
X |φ(z)|2 dx dy y = 1. Zelditch [19] has shown that as λ → ∞, for a typical Maass form φ the measure μφ := |φ(z)|2 dx dy y approaches the uniform distribution measure 3 π dx dy y . This statement is referred to as “Quantum Ergodicity.” Rudnick and Sarnak [13] have conjectured that an even stronger result holds. Namely, that as λ → ∞, for every Maass form φ the measure μφ approaches the uniform ...
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Article history: Received 13 October 2007 Revised 9 May 2008 Available online 17 December 2008 Communicated by David Goss In 1997, Serre proved an equidistribution theorem for eigenvalues of Hecke operators on the space S(N,k) of cusp forms of weight k and level N . In this paper, we derive an effective version of Serre’s theorem. As a consequence, we estimate, for a given d and prime p coprime...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06619-4