Metrical Theorems on Restricted Diophantine Approximations to Points on a Curve

Authors: Harman G.¹; Jones H.²

Source: Journal of Number Theory, Volume 97, Number 1, November 2002 , pp. 45-57(13)

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Abstract:

We investigate rational approximations (r/p,q/p) or (r/p,q/r) to points on the curve (,) for almost all >0, where p,q,r are all primes. We immediately obtain corollaries on making p,[p], [p] simultaneously prime. © 2002 Elsevier Science (USA).

Language: English

Document Type: Research article

DOI: http://dx.doi.org/10.1006/jnth.2002.2781

Affiliations: 1: Mathematics Department, Royal Holloway University of London, Egham, England, TW20 0EX, United Kingdom 2: School of Mathematics, Cardiff University, Cardiff, CF24 4HY, United Kingdom

Publication date: 2002-11-01