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On the lower bound sieve

Published online by Cambridge University Press:  26 February 2010

Jiahai Kan
Jiahai Kan
Affiliation:
Nanjing Institute of Posts and Telecommunications, Nanjing 210003, Nanjing, China.
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Abstract

A unified method is used to improve the order of the lower bound sieve.

Type
Research Article
Information
Mathematika , Volume 37 , Issue 2 , December 1990 , pp. 273 - 286
Copyright
Copyright © University College London 1990

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References

1. Richert, H.-E.. Selberg's sieve with weights. Mathematika, 16 (1969), 1–22.CrossRefGoogle Scholar
2. Halberstam, H. and Richert, H.-E.. The distribution of polynomial sequences. Mathematika, 19 (1972), 25–50.CrossRefGoogle Scholar
3. Halberstam, H. and Richert, H.-E.. Sieve Methods (Academic Press, London and New York, 1974).Google Scholar
4. Kan, J.. On the number of solutions of p + h = Pr. Mathematische Zeitschrift, 203 (1990), 37–42.Google Scholar
5. Kan, J.. Lower and upper bounds for the number of solutions of p + h = Pr. To appear in Acta Arithmetica.Google Scholar
6. Kan, J.. On the sequence p + h and the number of solutions of N – p = Pr (Abstract). Kexue Tongbao, 35 (1990), 558.Google Scholar