Character sums over products of prime polynomials

2020/03/26 by Porritt, Samuel
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2003.12002

Abstract

We study sums of Dirichlet characters over polynomials in \mathbbF_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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