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Chinese Annals of Mathematics, Series B

, Volume 40, Issue 2, pp 273–284 | Cite as

Waring-Goldbach Problem: One Square and Nine Biquadrates

  • Xiaodong LüEmail author
  • Yingchun Cai
Article
  • 23 Downloads

Abstract

In this paper it is proved that every sufficiently large even integer N satisfying one of the congruence conditions N ≡ 10, 58, 130, or 178 (mod 240) may be represented as the sum of one square and nine fourth powers of prime numbers.

Keywords

Waring-Goldbach problem Hardy-Littlewood method 

2000 MR Subject Classification

11P32 11N36 

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Copyright information

© Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mathematical ScienceYangzhou UniversityJiangsuChina
  2. 2.Department of MathematicsTongji UniversityShanghaiChina

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