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arXiv · 1012.3809

Sifting Limits for the Λ^2Λ^- Sieve

Craig Franze
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Abstract

Sifting limits for the $Λ^{2}Λ^{-}$ sieve, Selberg's lower bound sieve, are computed for integral dimensions $1<κ\le10$. The evidence strongly suggests that for all $κ\ge3$ the $Λ^{2}Λ^{-}$ 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 $κ$ is also outlined.

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Craig Franze. 2010-12-17. Sifting Limits for the Λ^2Λ^- Sieve. https://doi.org/10.1016/j.jnt.2011.04.008

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