On the fourth moment in the Rankin-Selberg problem
نویسندگان
چکیده
منابع مشابه
On the Fourth Moment in the Rankin-selberg Problem
where the notation is as follows. Let φ(z) be a holomorphic cusp form of weight κ with respect to the full modular group SL(2,Z), and denote by a(n) the n-th Fourier coefficient of φ(z). We suppose that φ(z) is a normalized eigenfunction for the Hecke operators T (n), that is, a(1) = 1 and T (n)φ = a(n)φ for every n ∈ N. The classical example is a(n) = τ(n) (κ = 12), the Ramanujan function defi...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2008
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-008-2326-4