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arXiv:2409.18229 [math.NT]AbstractReferencesReviewsResources

Some results about entropy and divergence in number theory

Daniel C. Mayer, Nicusor Minculete, Diana Savin, Vlad Monescu

Published 2024-09-26Version 1

In this article we obtain certain inequalities involving the entropy of a positive integer and divergence of two positive integers, respectively the entropy of an ideal and divergence of two ideals of a ring of algebraic integers.

Comments: 16 pages, 1 figure. Key words and phrases. entropy, divergence, numbers, ideals, ramification theory in algebraic number fields
Categories: math.NT, math-ph, math.MP
Subjects: 28D20, 11A51, 11A25, 11S15, 47B06, 94A17
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