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arXiv · 1809.05226

Explicit bounds on exceptional zeroes of Dirichlet $L$-functions

Matteo Bordignon
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Abstract

The aim of this paper is to improve the upper bound for the exceptional zeroes $β_0$ of Dirichlet $L$-functions. We do this by improving on explicit estimate for $L'(σ, χ)$ for $σ$ close to unity.

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Matteo Bordignon. 2019-04-02. Explicit bounds on exceptional zeroes of Dirichlet $L$-functions. https://doi.org/10.1016/j.jnt.2019.02.003

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