Bounds for moments of quadratic Dirichlet -functions of prime-related moduli
Volume 171 / 2023
Colloquium Mathematicum 171 (2023), 61-77
MSC: Primary 11M06.
DOI: 10.4064/cm8650-1-2022
Published online: 23 June 2022
Abstract
We study the kth moment of central values of the family of quadratic Dirichlet L-functions of moduli 8p, with p ranging over odd primes. Assuming the truth of the generalized Riemann hypothesis, we establish sharp upper and lower bounds for the kth power moment of these L-values for all real k \geq 0.
