Sifting limits for the Λ2Λ− sieve

Publication year: 2011
Source: Journal of Number Theory, Volume 131, Issue 10, October 2011, Pages 1962-1982

C.S., Franze

Sifting limits for the Λ2Λ− sieve, Selbergʼs lower bound sieve, are computed for integral dimensions 1<κ⩽10. The evidence strongly suggests that for all κ⩾3 the Λ2Λ− 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.