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Acta Mathematica Sinica

, Volume 21, Issue 2, pp 335–350 | Cite as

The Exceptional Set in Hua’s Theorem for Three Squares of Primes

  • Jian Ya Liu
  • Tao Zhan
ORIGINAL ARTICLES

Abstract

It is proved that with at most O(N 11/12+ε) exceptions, all positive integers nN satisfying some necessary congruence conditions are the sum of three squares of primes. This improves substantially the previous results in this direction.

Keywords

Waring–Goldbach problem Circle method Iterative method 

MR (2000) Subject Classification

11P32 11P05 11P55 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Department of MathematicsShandong UniversityJi’nan 250100P. R. China

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