Sifting Limits for the \Lambda^2\Lambda^- Sieve

Craig Franze

doi:10.1016/j.jnt.2011.04.008

Sifting Limits for the \Lambda^2\Lambda^- Sieve

Number Theory 2018-08-07 v1 Classical Analysis and ODEs

Authors: Craig Franze

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Abstract

Sifting limits for the $\Lambda^{2}\Lambda^{-}$ sieve, Selberg's lower bound sieve, are computed for integral dimensions $1<\kappa\le10$ . The evidence strongly suggests that for all $\kappa\ge3$ the $\Lambda^{2}\Lambda^{-}$ sieve is superior to the competing combinatorial sieves of Diamond, Halberstam, and Richert. A method initiated by Grupp and Richert for computing sieve functions for integral $\kappa$ is also outlined.

Cite

@article{arxiv.1012.3809,
  title  = {Sifting Limits for the \Lambda^2\Lambda^- Sieve},
  author = {Craig Franze},
  journal= {arXiv preprint arXiv:1012.3809},
  year   = {2018}
}

Comments

Submitted to Journal of Number Theory

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