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Three primes theorem in a short interval (VII)

Authors:

Jia Chaohua

Institution:

1. Institute of Mathematics, Academia Sinica, 100080, Beijing, China

Abstract:

In this paper, we shall prove that for a sufficiently large odd numberN, the equation

$N = p_1 + p_2 + p_3 ,\frac{N}{3} - N^{\tfrac{7}{{12}} + e}< p_i \leqslant \frac{N}{3} + N^{\tfrac{7}{{12}} + e} (i = 1,2,3)$

Keywords:
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