$L$-functions of automorphic forms and combinatorics: Dyck paths
نویسندگان
چکیده
منابع مشابه
Langlands picture of automorphic forms and L - functions
Recall the lectures in the first two weeks. We discussed Tate’s thesis, i.e. automorphic forms of GL1, which is a generalization of Hecke’s work in 1910’s. Now suppose f ∈ Sk(Γ) is an Hecke eigenform with normalized 1-st Fourier coefficient a1 = 1. Ramanujan-Deligne theorem says ∣∣a(p)p− k−1 2 ∣∣ 6 2, for any p. Let cp = a(p)p− k−1 2 = αp + α−1 p . The Dirichlet series associated f , which is n...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2004
ISSN: 0373-0956
DOI: 10.5802/aif.2076