Three Primes Theorem in a Short Interval (II)

Chaohua Jia
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Chaohua Jia: Beijing University, Department of Mathematics

A chapter in International Symposium in Memory of Hua Loo Keng, 1991, pp 103-115 from Springer

Abstract: Abstract In 1937, I. M. Vinogradov proved the well-known three primes theorem. Haselgrove [1], Pan Cheng-dong [2], Chen Jin-run [3] generalized it to the results in a short interval. Afterwards, Professor Pan Cheng-dong and Pan Chengbiao pointed out that there was a defect in the proof of [2] and [3]. They provided a pure analytic proof by complex integral method. Precisely, they proved the following result:

Keywords: Short Interval; Prime Variable; Riemann Zeta Function; Exceptional Character; Exceptional Zero (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-3-662-07981-2_6

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