Explicit upper bound for $\left|L(1, \chi)\right|$ when $\chi(2)=1$ and $\chi$ is even

Sumaia Saad Eddin

doi:10.1142/S1793042116501372

Explicit upper bound for $\left|L(1, \chi)\right|$ when $\chi(2)=1$ and $\chi$ is even

Number Theory 2016-03-03 v1

Authors: Sumaia Saad Eddin

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Abstract

Let $\chi$ be a primitive Dirichlet character of conductor $q$ and let us denote by $L(z, \chi)$ the associated $L$ -series. In this paper, we provide an explicit upper bound for $\left|L(1, \chi)\right|$ when $\chi$ is a primitive even Dirichlet character with $\chi(2)=1$ .

Keywords

dirichlet characters

Cite

@article{arxiv.1503.08365,
  title  = {Explicit upper bound for $\left|L(1, \chi)\right|$ when $\chi(2)=1$ and $\chi$ is even},
  author = {Sumaia Saad Eddin},
  journal= {arXiv preprint arXiv:1503.08365},
  year   = {2016}
}

Comments

16 pages, 2 figures. Submitted to International Journal of Number Theory

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