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Mathematics > Number Theory
Title: Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression
(Submitted on 12 Apr 2024)
Abstract: By means of a Fourier optimization framework, we improve the current asymptotic bounds under GRH for two classical problems in number theory: the problem of estimating the least quadratic non-residue modulo a prime, and the problem of estimating the least prime in an arithmetic progression.
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