Weighted first moments of some special quadratic Dirichlet L-functions
Weighted first moments of some special quadratic Dirichlet L-functions
In this paper, we obtain asymptotic formulas for weighted first moments of central values of families of primitive quadratic Dirichlet L-functions whose conductors comprise only primes that split in a given quadratic number field. We then deduce a non-vanishing result of these L-functions at the point s = 1 / …