Optimality for the two-parameter quadratic sieve
Number Theory
2022-01-06 v6
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.
Cite
@article{arxiv.2005.03162,
title = {Optimality for the two-parameter quadratic sieve},
author = {Emanuel Carneiro and Andrés Chirre and Harald Andrés Helfgott and Julian Mejia-Cordero},
journal= {arXiv preprint arXiv:2005.03162},
year = {2022}
}
Comments
Minor edits. 32 pages. To appear in Acta Arithmetica