A density theorem on automorphic L-functions and some applications

Yuk Kam Lau (1) , Jie Wu (2)

1 HKU - The University of Hong Kong
2 Analyse

We establish a density theorem on automorphic L-functions and give some applications on the extreme values of these L-functions at s=1 and the distribution of the Hecke eigenvalue of holomorphic cusp forms.

Mots clés: Special values of automorphic L-series; Fourier coefficients of automorphic forms

Domaines: Théorie des nombres [math.NT]

Yuk Kam Lau, Jie Wu. A density theorem on automorphic L-functions and some applications. Transactions of the American Mathematical Society, 2005, 358, pp.441-472. ⟨10.1090/S0002-9947-05-03774-8⟩. ⟨hal-00097046⟩