On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1

Jianya Liu (1) , Emmanuel Royer (2) , Jie Wu (3)

1 School of Mathematics and System Sciences
2 LMBP - Laboratoire de Mathématiques Blaise Pascal
3 IECN - Institut Élie Cartan de Nancy

In this paper, we prove a weaker form of a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1.

Domaines: Théorie des nombres [math.NT]

Jianya Liu, Emmanuel Royer, Jie Wu. On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1. Jean-Marie de Koninck, Andrew Granville et Florian Luca. Anatomy of integers, CRM, pp.217 à 245, 2008, CRM Proceedings and Lecture Notes 46. ⟨hal-00022853v3⟩