June 27, 2024Open Access

Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields

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Abstract

In this paper, we establish sharp upper bounds on shifted moments of the family of Dirichlet L-functions to a fixed modulus over function fields. We apply the result to obtain upper bounds on moments of Dirichlet character sums over function fields.

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Baier et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6312bb6db6435875c3ad8 https://doi.org/https://doi.org/10.48550/arxiv.2406.19606

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