An explicit hybrid estimate for $L(1/2+it,χ)$

Ghaith A. Hiary

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arXiv · 1510.00950

An explicit hybrid estimate for $L(1/2+it,χ)$

Ghaith A. Hiary

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Abstract

An explicit hybrid estimate for $L(1/2+it,χ)$ is derived, where $χ$ is a Dirichlet character modulo $q$. The estimate applies when $t$ is bounded away from zero, and is most effective when $q$ is powerfull, yielding an explicit Weyl bound in this case. The estimate takes a particularly simple form if $q$ is a sixth power. Several hybrid lemmas of van der Corput--Weyl type are presented.

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Ghaith A. Hiary. 2016-07-07. An explicit hybrid estimate for $L(1/2+it,χ)$. https://arxiv.org/abs/1510.00950

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