Central values of derivatives of Dirichlet L-functions
Number Theory
2021-09-23 v3
Abstract
Let C(q,+) be the set of even, primitive Dirichlet characters (mod q). Using the mollifier method we show that L^{(k)}(1/2,chi) is not equal to zero for almost all the characters chi in C(q,+) when k and q are large. Here, L^{(k)}(s,chi) is the k-th derivative of of the Dirichlet L-function L(s,chi).
Keywords
Cite
@article{arxiv.0910.2051,
title = {Central values of derivatives of Dirichlet L-functions},
author = {H. M. Bui and M. B. Milinovich},
journal= {arXiv preprint arXiv:0910.2051},
year = {2021}
}
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submitted for publication