Higher integral moments of automorphic L-functions in short intervals

Xuanxuan Xiao (1)

1 IECL - Institut Élie Cartan de Lorraine

We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function.

Mots clés: L-functions; automorphic forms; Moment

Domaines: Théorie des nombres [math.NT]

Xuanxuan Xiao. Higher integral moments of automorphic L-functions in short intervals. 2016. ⟨hal-01282675⟩