Sifting limits for the Λ2Λ- sieve

JOURNAL OF NUMBER THEORY

卷:131

Article

Franze, C. S.

关键词: Selberg sieve;    Sieve function;    Sieve Sifting limit;    Chain of circles;    Higher dimensional sieve method;    Delay-differential equations;    Differential-delay equations;    Lower bound sieve;   

DOI  :  10.1016/j.jnt.2011.04.008

来源: Elsevier

【 摘 要 】

Sifting limits for the Lambda(2)Lambda(-) sieve, Selberg's lower bound sieve, are computed for integral dimensions 1 < kappa <= 10. The evidence strongly suggests that for all kappa >= 3 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. (C) 2011 Published by Elsevier Inc.

【 授权许可】

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