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arXiv · 2404.08380

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

Emanuel Carneiro·Micah B. Milinovich·Emily Quesada-Herrera·Antonio Pedro Ramos
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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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Emanuel Carneiro, Micah B. Milinovich, Emily Quesada-Herrera, Antonio Pedro Ramos. 2024-04-12. Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression. https://arxiv.org/abs/2404.08380

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