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arXiv · 1205.1054

Pisot Numbers and Primes

Andrei Vieru
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Abstract

We define and study a transform whose iterates bring to the fore interesting relations between Pisot numbers and primes. Although the relations we describe are general, they take a particular form in the Pisot limit points. We give three elegant formulae, which permit to locate on the whole semi-line all limit points that are not integer powers of other Pisot numbers.

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Andrei Vieru. 2012-05-04. Pisot Numbers and Primes. https://arxiv.org/abs/1205.1054

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