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arXiv · 2005.03162

Optimality for the two-parameter quadratic sieve

Emanuel Carneiro·Andrés Chirre·Harald Andrés Helfgott·Julian Mejia-Cordero
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Abstract

We study the two-parameter quadratic sieve for a general test function. We prove, under some very general assumptions, that the function considered by Barban and Vehov [BV68] and Graham [Gra78] for this problem is optimal up to and including the second-order term. We determine that second-order term explicitly.

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Emanuel Carneiro, Andrés Chirre, Harald Andrés Helfgott, Julian Mejia-Cordero. 2020-05-06. Optimality for the two-parameter quadratic sieve. https://arxiv.org/abs/2005.03162

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