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arXiv · 1809.00483

Universality of $L$-Functions over function fields

J. C. Andrade·S. M. Gonek
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Abstract

We prove that the Dirichlet $L$-functions associated with Dirichlet characters in $\mathbb{F}_{q}[x]$ are universal. That is, given a modulus of high enough degree, $L$-functions with characters to this modulus can be found that approximate any given nonvanishing analytic function arbitrarily closely.

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J. C. Andrade, S. M. Gonek. 2018-09-03. Universality of $L$-Functions over function fields. https://arxiv.org/abs/1809.00483

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