Composition Operations of Generalized Entropies Applied to the Study of Numbers

Composition Operations of Generalized Entropies Applied to the Study of Numbers

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Author(s): Amelia Carolina Sparavigna

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DOI: 10.18483/ijSci.2044 19 34 87-92 Volume 8 - Apr 2019


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.


Generalized Entropies, Q-Calculus, Abelian Groups, Hyperbolic Functions, Fermat Numbers, Mersenne Numbers, Thabit Numbers, Repunits


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