Acta Mathematica Sinica

, Volume 22, Issue 5, pp 1329–1342

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

ORIGINAL ARTICLES

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

Abstract

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.

Keywords

circle methodCauchy’s inequalitySiegel zeroDirichlet character

MR (2000) Subject Classification

11P3211P55

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