The First Moment of Dirichlet L-functions over Generators of the Character Group

2026/07/16 by Rizwanur Khan
#math.NT

paper · pdf

Abstract

We evaluate the average of the central values L(1/2,χ) over the generators of the group of Dirichlet characters modulo q, as q→∞ through the primes.

Related

• The eighth moment of Dirichlet L-functions II
• Moments and non-vanishing of L-functions over thin subgroups
• The eighth moment of Dirichlet L-functions
• On an error term for the first moment of twisted L-functions
• Asymptotic second moment of Dirichlet L-functions along a thin coset