Corpus ID: 218538390

Optimality for the two-parameter quadratic sieve.

  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},
  • Emanuel Carneiro, Andr'es Chirre, +1 author Julian Mejia-Cordero
  • Published 2020
  • Mathematics
  • arXiv: Number Theory
  • 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.