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Proportion of distinct zeros of a Dirichlet L-series

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Abstract

By studying the distribution of zeros of combinations of a Dirichlet L-function and its first-order derivative, we prove that every Dirichlet L-function has more than 66.7934% distinct zeros.

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Correspondence to Xiaosheng Wu.

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Dedicated to Professor Banghe LI on the occasion of his 80th birthday

This work was supported in part by NSFC (11871187) and the Fundamental Research Funds for the Central Universities of China.

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Qin, X., Wu, X. Proportion of distinct zeros of a Dirichlet L-series. Acta Math Sci 42, 2367–2376 (2022). https://doi.org/10.1007/s10473-022-0610-1

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  • DOI: https://doi.org/10.1007/s10473-022-0610-1

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