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THE MONOID OF NUMBERS OF THE FORM 1 <= a^q /b^p < a
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EN
Document de travail - Pré-publication
Résumé en anglais
This paper is a study of the set of rational numbers of the form 1 <= a^q /b^p < a with a and b co-prime integers. The set F (a,b) of these numbers, with an appropriate binary law, is a monoid isomorphic to (N, +, 0). We ...Lire la suite >
Mots clés en anglais
sequence of rational numbers
rational numbers
record holders
subset dense
Collatz problem