Small Prime Solutions of a Pair of Linear Equations in Five Variables

Ming-Chit Liu and Kai-Man Tsang
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Ming-Chit Liu: University of Hong Kong, Department of Mathematics
Kai-Man Tsang: University of Hong Kong, Department of Mathematics

A chapter in International Symposium in Memory of Hua Loo Keng, 1991, pp 163-182 from Springer

Abstract: Abstract In a recent paper [8] the problem of obtaining a precise bound for the smallest solution in primes p 1, p 2, p 3 of the linear equation was solved completely. The problem was first raised by Baker in connection with his well-known work [1] on the solubility of certain diophantine inequalities involving primes. Our results in [8] include, as particular cases, the well-known Vinogradov’s three prime theorem and Linnik’s theorem on the least prime in an arithmetic progression.

Keywords: Primitive Character; Fundamental Lemma; Diophantine Inequality; Singular Series; Positive Solubility (search for similar items in EconPapers)
Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-07981-2_8

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DOI: 10.1007/978-3-662-07981-2_8

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