# Optimality for the two-parameter quadratic sieve.

@article{Carneiro2020OptimalityFT, title={Optimality for the two-parameter quadratic sieve.}, author={Emanuel Carneiro and Andr'es Chirre and H. A. Helfgott and Julian Mejia-Cordero}, journal={arXiv: Number Theory}, year={2020} }

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 the second-order term. We determine that second-order term explicitly.

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