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Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression

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arxiv 2404.08380 v2 pith:US25KBI4 submitted 2024-04-12 math.NT math.CA

Emanuel Carneiro , Micah B. Milinovich , Emily Quesada-Herrera , Antonio Pedro Ramos This is my paper · ORCID
classification math.NTmath.CA
keywords leastprimearithmeticestimatingfouriernon-residueoptimizationproblem
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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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