4 papers
Some properties of Padovan matrices and bi-periodic Padovan matrices
Diana Savin
Let be the sequence of bi-periodic Padovan numbers and let be the sequence of bi-periodic Padovan matrices. In this…
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…
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…
On Companion sequences associated with Leonardo quaternions: Applications over finite fields
Diana Savin, Elif Tan
It is known that the quaternion algebras are central simple algebras and also clifford algebras. In this paper, we introduce a new class of quaternions called Lucas-Leonardo p-quat…