Summation methods and distribution of eigenvalues of Hecke operators
نویسندگان
چکیده
منابع مشابه
The Distribution of the Eigenvalues of Hecke Operators
τ(n)e(nz). The two equations were proven for τ(n) by Mordell, using what are now known as the Hecke operators. The inequality was proven by Deligne as a consequence of his proof of the Weil conjectures. Those results determine everything about af (n) except for the distribution of the af (p) ∈ [−2, 2]. Define θf (p) ∈ [0, π] by af (p) = 2 cos θf (p). It is conjectured that for each f the θf (p)...
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15 صفحه اولEffective equidistribution of eigenvalues of Hecke operators
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: Functiones et Approximatio Commentarii Mathematici
سال: 2008
ISSN: 0208-6573
DOI: 10.7169/facm/1229696570