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arXiv · 2508.03023

On Turing's method for a general set of $L$-functions and the Selberg class

Neea Palojärvi·Tianyu Zhao
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Abstract

We derive explicit bounds for two general classes of $L$-functions, improving and generalizing earlier known estimates. These bounds can be used, for example, to apply Turing's method for determining the number of zeros up to a given height.

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Neea Palojärvi, Tianyu Zhao. 2025-08-05. On Turing's method for a general set of $L$-functions and the Selberg class. https://arxiv.org/abs/2508.03023

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