Optimality for the two-parameter quadratic sieve
Volume 203 / 2022
Acta Arithmetica 203 (2022), 195-226
MSC: Primary 11N35.
DOI: 10.4064/aa201018-5-1
Published online: 4 April 2022
Abstract
We study the two-parameter quadratic sieve for an arbitrary smoothing function. We prove, under some very general assumptions, that the function considered by Barban and Vekhov (1968) and Graham (1978) for this problem is optimal up to and including the second-order term. We determine that second-order term explicitly.
