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math.NT2026
On bi-periodic Padovan and Perrin quaternions over finite fields
Diana Savin, Elif Tan
In this paper, we investigate bi-periodic Padovan and bi-periodic Perrin quaternions in the quaternion algebra Q_Zp. We introduce the bi-periodic Perrin sequence and clarify its st…
math.NT2025
Some results about entropy and divergence in number theory
Daniel C. Mayer, Nicusor Minculete, Diana Savin +1
We obtain inequalities involving the entropy of a positive integer and the divergence of two positive integers, respectively the entropy of an ideal and the divergence of two ideal…