Universality of $L$-Functions over function fields
Number Theory
2023-01-12 v2
Abstract
We prove that the Dirichlet -functions associated with Dirichlet characters in are universal. That is, given a modulus of high enough degree, -functions with characters to this modulus can be found that approximate any given nonvanishing analytic function arbitrarily closely.
Cite
@article{arxiv.1809.00483,
title = {Universality of $L$-Functions over function fields},
author = {J. C. Andrade and S. M. Gonek},
journal= {arXiv preprint arXiv:1809.00483},
year = {2023}
}
Comments
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