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arXiv · 2001.05782

An explicit upper bound for Siegel zeros of imaginary quadratic fields

Dimbinaina Ralaivaosaona·Faratiana Brice Razakarinoro
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Abstract

For any integer $d\geq 3$ such that $-d$ is a fundamental discriminant, we show that the Dirichlet $L$-function associated with the real primitive character $\chi(\cdot)=(\frac{-d}{\cdot})$ does not vanish on the positive part of the interval $[1-6.5/\sqrt{d},\ 1]. $

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Dimbinaina Ralaivaosaona, Faratiana Brice Razakarinoro. 2020-01-16. An explicit upper bound for Siegel zeros of imaginary quadratic fields. https://arxiv.org/abs/2001.05782

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