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Bounds for moments of quadratic Dirichlet character sums of prime moduli (2412.19151v1)
Published 26 Dec 2024 in math.NT
Abstract: Assuming the generalized Riemann hypothesis, we evaluate sharp upper bounds for the shifted moments of quadratic Dirichlet L-functions with moduli 8p, where p ranges over odd primes. We then apply this result to prove bounds for the moments of quadratic Dirichlet character sums with prime moduli.
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