期刊文献+

Waring-Goldbach problem for fourth powers in short intervals

Waring-Goldbach problem for fourth powers in short intervals
原文传递
导出
摘要 We prove that almost all integers N satisfying some necessary congruence conditions are the sum of almost equal fourth prime powers. We prove that almost all integers N satisfying some necessary congruence conditions are the sum of almost equal fourth prime powers.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2013年第6期1407-1423,共17页 中国高等学校学术文摘·数学(英文)
关键词 Circle method exponential sum short interval Circle method, exponential sum, short interval
  • 相关文献

参考文献13

  • 1Choi S K K,Kumchev A V. Mean values of Dirichlet polynomials and applications to linear equations with prime variables[J].{H}ACTA ARITHMETICA,2006.125-142.
  • 2Davenport H. Multiplicative Number Theory[M].{H}Berlin:Springer-Verlag,1980.
  • 3Gallagher P X. A large sieve density estimate near σ =1[J].{H}Inventiones Mathematicae,1970.329-339.
  • 4Hua L K. Some results in the additive prime number theory[J].{H}QUARTERLY JOURNAL OF MATHEMATICS,1938.68-80.
  • 5Huxley M N. Large values of Dirichlet polynomials Ⅲ[J].{H}ACTA ARITHMETICA,1974.435-444.
  • 6Leung M C,Liu M C. On generalized quadratic equations in three prime variables[J].{H}Monatshefte fur Mathematik,1993.133-169.
  • 7Li H Z,Wu J. Sums of almost equal prime squares[J].Funct Approx Comment Math,2008,(01):49-65.
  • 8Liu J Y. On Lagrange's theorem with prime variables[J].{H}QUARTERLY JOURNAL OF MATHEMATICS,2003.454-462.
  • 9Liu J Y,Lü G S,Zhan T. Exceptional sums over prime variables in short intervals[J].{H}SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2006,(04):448-457.
  • 10Prachar K. Primzahlverteilung[M].{H}Berlin:Springer-Verlag,1957.

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