Nicusor Minculete, Diana Savin
Published 2023-05-13Version 1
The aim of this paper is to study certain properties of the Kullback-Leibler distance between two positive integer numbers or between two ideals. We present some results related the entropy of a positive integer number and the divergence of two numbers. We also study the entropy of some types of ideals and the divergence of two ideals. Finally, we find some inequalities, involving the entropy H of an exponential divisor of a positive integer, respectively the entropy H of an exponential divisor of an ideal.
Comments: arXiv admin note: substantial text overlap with arXiv:2210.12149
A type of the entropy of an ideal
Some results about entropy and divergence in number theory
On certain arithmetic functions involving exponential divisors
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