Weighted first moments of some special quadratic Dirichlet L-functions
Keywords:
quadratic Dirichlet characters, quadratic Hecke characters, quadratic Dirichlet L-functions, Hecke L-functionsAbstract
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 / 2.
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Published
31-12-2019
How to Cite
Gao, P., & Zhao, L. (2019). Weighted first moments of some special quadratic Dirichlet L-functions. New Zealand Journal of Mathematics, 49, 31–40. Retrieved from https://nzjmath.org/index.php/NZJMATH/article/view/28
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