期刊文献+

The Exceptional Set in the Two Prime Squares and a Prime Problem

The Exceptional Set in the Two Prime Squares and a Prime Problem
原文传递
导出
摘要 In this paper we prove that, with at most O(N^5/12+ε) exceptions, all positive odd integers n ≤ N with n ≡ 0 or 1(mod 3) can be written as a sum of a prime and two squares of primes. In this paper we prove that, with at most O(N^5/12+ε) exceptions, all positive odd integers n ≤ N with n ≡ 0 or 1(mod 3) can be written as a sum of a prime and two squares of primes.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第5期1329-1342,共14页 数学学报(英文版)
基金 Project supported by National Natural Science Foundation(No. 90304009) Foundation of Qufu Normal University for Ph.D.
关键词 circle method Cauchy's inequality Siegel zero Dirichlet character circle method, Cauchy's inequality, Siegel zero, Dirichlet character
  • 相关文献

参考文献14

  • 1Hardy, G. H.: Littlewood, J . E.: Some problems of "partitio numerorum" III: On the expression of a number as a sum of primes. Acta Math., 44, 1-70 (1923)
  • 2Linnik, Yu.: Hardy-Littlewood problem on the representation as the sum of a prime and two squares. Dokl Akad Nauk SSSR., 124, 29-30 (1959)
  • 3Linnik, Yu.: An asymptotic formula in an additive problem of Hardy and Littlewood. Izv Akad Nauk SSSR,Ser Mat., 24, 629-706 (1960)
  • 4Liu, J. Y., Zhan, T.: Sums of five almost equal prime squares II. Sci. in China, Ser. A, 41, 710-722 (1998)
  • 5Wooley, T. D.: Slim exceptional sets for sums of four squares. Proc. London Math. Soc., 85, 1-21 (2002)
  • 6Ghosh, A.: The distribution of ap^2 modulo 1. Proc. London Math. Soc., 42, 252-269 (1981)
  • 7Leung, M. C., Liu, M. C.: On generalized quadratic equations in three prime variables. Mh. Math., 115,133-169 (1993)
  • 8Prachar, K.: Primzahlverteilung, Springer, Berlin, 1957
  • 9Pan, C. D., Pan, C. B.: Fundamentals of analytic number theory, (in Chinese), Science Press, Beijing, 1991
  • 10Heath-Brown, D. R.: Prime numbers in short intervals and a generalized Vaughan's identity. Canad. J.Math., 34, 1365-1377 (1982)

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部