Acta Scientiarum Naturalium Universitatis Pekinensis

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The Asymptotic Formula of the Basic Function in the Sieve Method

MENG Zaizhao   

  1. Department of Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:1998-04-09 Online:1999-05-20 Published:1999-05-20

筛法中基本函数的渐近公式

蒙在照   

  1. 北京大学数学学院数学系,北京,100871

Abstract: The paper gives new estimation to the error term of the asymptotic formula of the basic function F(u) in the sieve method; in addition, we give a counter-example to one incorrect result in the reference.

Key words: sieve method, asymptotic formula, Laplace transform

摘要: 对筛法中的基本函数F(u)的渐近公式进行了讨论,得到新的余项估计;另外,对出现在筛法经典文献中的一个错误结果给出反例。

关键词: 筛法, 渐近公式, Laplace变换

CLC Number: