Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (1): 19-29.

Previous Articles     Next Articles

On the Sum of a Prime and the k-th Power of a Prime 

  

  1. 山东大学数学与系统科学学院 山东济南250100 
  • Received:2001-06-26 Online:2002-03-30 Published:2024-05-11
  • About author:MENG Xian-meng(1971-),female,native of Linqing,Shandong,a lecturer of Shandong Financial Institute,is pursuing doctorate in Shandong University‚engages in analytic number theory.
  • Supported by:
    Supported by the National Natural Science Tianyuan Foundation of China

Abstract: 本文研究了小区间上的华罗庚定理。即令...。在GRH下 ,得到了对任意的k≥ 2 ,A >0 ,0 <ε<14,有Ek(x+H) -Ek(x) <H(logx) -A成立 ,此处x1/2 -1/4k+ε ≤H ≤x ,<仅依赖于A和ε。

Key words:  , 素数, 圆法,  ,

CLC Number: