Archivio Istituzionale della RicercaThe generalized entropies of C. Tsallis and G. Kaniadakis have composition operations, which can be applied to the study of numbers. Here we will discuss these composition rules and use them to study some famous sequences of numbers (Mersenne, Fermat, Cullen, Woodall and Thabit numbers). We will also consider the sequence of the repunits, which can be seen as a specific case of q-integers.
Composition Operations of Generalized Entropies Applied to the Study of Numbers / Sparavigna, Amelia Carolina. - In: INTERNATIONAL JOURNAL OF SCIENCES. - ISSN 2305-3925. - STAMPA. - 8:04(2019), pp. 87-92. [10.18483/ijSci.2044]
Composition Operations of Generalized Entropies Applied to the Study of Numbers
Amelia Carolina Sparavigna
2019
Abstract
The generalized entropies of C. Tsallis and G. Kaniadakis have composition operations, which can be applied to the study of numbers. Here we will discuss these composition rules and use them to study some famous sequences of numbers (Mersenne, Fermat, Cullen, Woodall and Thabit numbers). We will also consider the sequence of the repunits, which can be seen as a specific case of q-integers.
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https://hdl.handle.net/11583/2731366
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