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

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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.

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Correspondence to Ming Qiang Wang.

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Project supported by National Natural Science Foundation(No. 90304009) and Foundation of Qufu Normal University for Ph. D.

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Wang, M.Q., Meng, X.M. The Exceptional Set in the Two Prime Squares and a Prime Problem. Acta Math Sinica 22, 1329–1342 (2006). https://doi.org/10.1007/s10114-005-0701-7

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  • DOI: https://doi.org/10.1007/s10114-005-0701-7

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