Acta Mathematica Sinica

, Volume 22, Issue 5, pp 1329–1342

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


DOI: 10.1007/s10114-005-0701-7

Cite this article as:
Wang, M.Q. & Meng, X.M. Acta Math Sinica (2006) 22: 1329. doi:10.1007/s10114-005-0701-7


In this paper we prove that, with at most \( O{\left( {N^{{\frac{5} {{12}} + \in }} } \right)} \) exceptions, all positive odd integers nN with n ≡ 0 or 1(mod 3) can be written as a sum of a prime and two squares of primes.


circle methodCauchy’s inequalitySiegel zeroDirichlet character

MR (2000) Subject Classification


Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Department of MathematicsQufu Normal UniversityQufu 273165P. R. China
  2. 2.Department of Computer ScienceShandong UniversityJi’nan 250100P. R. China
  3. 3.Department of Statistics and MathematicsShandong Finance InstituteJinan 250014P. R. China