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arXiv · 2003.12002

Character sums over products of prime polynomials

Samuel Porritt
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Abstract

We study sums of Dirichlet characters over polynomials in $\mathbb{F}_q[t]$ with a prescribed number of irreducible factors. Our main results are explicit formulae for these sums in terms of zeros of Dirichlet L-functions. We also exhibit new phenomena concerning Chebyshev-type biases of such sums when the number of irreducible factors is very large.

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Samuel Porritt. 2020-03-26. Character sums over products of prime polynomials. https://arxiv.org/abs/2003.12002

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