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

In: International Symposium in Memory of Hua Loo Keng

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  • Ming-Chit Liu

    (University of Hong Kong, Department of Mathematics)

  • Kai-Man Tsang

    (University of Hong Kong, Department of Mathematics)

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.

Suggested Citation

  • Ming-Chit Liu & Kai-Man Tsang, 1991. "Small Prime Solutions of a Pair of Linear Equations in Five Variables," Springer Books, in: Sheng Gong & Qi-Keng Lu & Yuan Wang & Lo Yang (ed.), International Symposium in Memory of Hua Loo Keng, pages 163-182, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-07981-2_8
    DOI: 10.1007/978-3-662-07981-2_8
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