Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (2): 155-159.

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On the Sum of Two Piatetski-Shapiro Primes

  

  1. School of Culture and Science, Shandong Finance Institute, Jinan 250014, China
  • Received:2002-09-15 Online:2004-06-30 Published:2024-03-18
  • About author:MENG Xian-meng(1971-),female,native of Linqing,Shandong,an associate professor of Shan- dong Finance Institute,Ph.D.,engages in analytic number theory.
  • Supported by:
     Supported by the Foundation of Shandong Provincial Education Department(03F06)；

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Abstract: In this paper, we study the binary Goldbach problem in the set of the Piatetski-Shapiro primes. We obtain that for all most all large even integer n, the equationn = p1+p2, pi∈Pγi, i = 1, 2has solutions, where 0 < γ1,γ2 ≤ 1 are fixed real numbers, such that 73(1 - γ2) < 9, 73(1 - γ1) + 43(1 - γ2) < 9.

Key words: primes, circle method, Goldbach problem

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