Extreme values of automorphic L-functions at 1

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

1 Department of Mathematics
2 IECN - Institut Élie Cartan de Nancy

We obtain an almost all result on the size of the mth symmetric power L-functions (m = 1, 2, 3, 4) for the normalized Hecke eigencuspforms at s = 1, which extends results of Elliott and Montgomery & Vaughan on Dirichlet L-functions to higher degree L-functions.

Mots clés: Special values of automorphic L-series

Domaines: Théorie des nombres [math.NT]

Yuk Kam Lau, Jie Wu. Extreme values of automorphic L-functions at 1. Acta Arith., 2007, 126 (1), pp.57--76. ⟨hal-00097130⟩