Asymptotic Density of Surds with Stable Height

Asymptotic Density of Surds with Stable Height

We investigate the asymptotic density of surds, namely, the numbers of the form m1/d with positive integers m and d such that their height is equal to their metric height among all surds. It is shown that, given an integer d[> or =, slanted]2, this density is equal to 6/[pi]2. Moreover, similar r...

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Veröffentlicht in:Acta applicandae mathematicae 2003-08, Vol.78 (1-3), p.99
1. Verfasser: Dubickas, A
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematical models
Mathematics
Prime numbers
Studies
Theory
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Zusammenfassung:We investigate the asymptotic density of surds, namely, the numbers of the form m1/d with positive integers m and d such that their height is equal to their metric height among all surds. It is shown that, given an integer d[> or =, slanted]2, this density is equal to 6/[pi]2. Moreover, similar results for some fixed m are also obtained. [PUBLICATION ABSTRACT]
ISSN:0167-8019
1572-9036
DOI:10.1023/A:1025736121861