Acta Mathematica Sinica

, Volume 22, Issue 5, pp 1329–1342

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

Authors

    • Department of MathematicsQufu Normal University
    • Department of Computer ScienceShandong University
  • Xian Meng Meng
    • Department of Statistics and MathematicsShandong Finance Institute
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