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Linear approximation by primes

Published online by Cambridge University Press:  17 April 2009

Kee-Wai Lau  and
Ming-Chit Liu
Kee-Wai Lau
Affiliation:
Department of Mathematics, University of Hong Kong, Hong Kong.
Ming-Chit Liu
Affiliation:
Department of Mathematics, University of Hong Kong, Hong Kong.
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Abstract

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In this present paper we shall prove the following. Suppose that λ1, λ2, λ3 are any non-zero real numbers not all of the same sign and that λ1/λ2 is irrational. If η is any real number and, 0 < α < 1/9, then there are infinitely many prime triples (p1, p2, p3) for which

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 3 , December 1978 , pp. 457 - 466
Copyright
Copyright © Australian Mathematical Society 1979

References

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