Diana SAVIN

Senior lecturer Ph.D.
Department of Mathematics and Computer Science
Faculty of Mathematics and Computer Science

Contact:

Iuliu Maniu street no. 50, Brașov, 500091, Romania
Building P
Phone/Fax: +40 268 414 016
E-mail: diana.savin@unitbv.ro

CV

Research interests

Algebraic Number Theory:

    • Algebraic number fields, Galois theory
    • Ramification theory in algebraic number fields
    • Class field theory
    • Diophantine Equations
    • Elliptic Curves, L-functions

Associative Algebras (aspects of algebriac number theory):

      • Quaternion algebras, orders
      • Symbol algebras;
      • Other central simple algebras

Combinatorics:

      • Fibonacci and Lucas numbers, Pell numbers, Horadam numbers, generating functions, difference equations, etc.

Publications (selection)

    • D. Savin, M. Ştefănescu, A necessary condition for certain Primes to be written in the form xq + ryq, Journal of Algebra and Its Applications (World Scientific), vol. 10, no.3 (June 2011), p. 435-443.
    • D. Savin, Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions, Advances in Difference Equations (Springer) (2015), 2015:298, DOI 10.1186/s13662-015-0627-z x.
    • D. Savin, About Special Elements in Quaternion Algebras Over Finite Fields, Advances in Applied Clifford Algebras (Springer), vol. 27, June 2017, Issue 2 , pp. 1801-1813.
    • D. Savin, About split quaternion algebras over quadratic fields and symbol algebras of degree n, Bull. Math. Soc. Sci. Math. Roumanie, Tome 60 (108) No. 3, 2017, p. 307- 312.
    • N. Minculete, D. Savin, Some generalizations of the functions τ and τ{e} in algebraic number fields, accepted in Expositiones Mathematicae 2021 (Science Direct, Elsevier) https://doi.org/10.1016/j.exmath.2020.07.001 ,https://www.sciencedirect.com/science/article/abs/pii/S0723086920300347