Explicit bounds on exceptional zeroes of Dirichlet L-function II

Matteo Bordignon

Explicit bounds on exceptional zeroes of Dirichlet L-function II

Number Theory 2019-07-22 v1

Authors: Matteo Bordignon

Abstract

This paper improves the upper bound for the exceptional zeroes of Dirichlet L-functions with even characters. The result is obtained by improving on explicit estimate for $L'(\sigma;\chi)$ for $\sigma$ close to unity, using a result on the average of Dirichlet characters, and on the lower bound for $L(1;\chi)$ , with computational aid.

Keywords

dirichlet characters l-functions dirichlet problem

Cite

@article{arxiv.1907.08327,
  title  = {Explicit bounds on exceptional zeroes of Dirichlet L-function II},
  author = {Matteo Bordignon},
  journal= {arXiv preprint arXiv:1907.08327},
  year   = {2019}
}

Comments

7 pages

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