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Three primes theorem in a short interval (V)

Authors:	Jia Chaohua

Institution:	(1) Institute of Mathematics, Academia Sinica, China

Abstract:	In this paper, we shall prove that for a sufficiently large odd numberN, the equation $N = P_1 + P_2 + P{}_{3,{\text{ }}}\frac{N}{3} - {\text{ }}N^{0.6 + \varepsilon }< p{}_i \leqslant {\text{ }}\frac{N}{3} + N^{^{0.6 + \varepsilon } {\text{ }}} \left( {i{\text{ = }}1, 2 ,3} \right)$ has solutions. The Project Supported by National Natural Science Foundation of China

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