SAVIN Diana

Lector univ. dr.
Departamentul de Matematică si Informatică
Facultatea de Matematică si Informatică

Contact:

Str. Iuliu Maniu nr. 50, Brașov, Romania
Corpul P
Phone/Fax: +40 268 414 016
E-mail: diana.savin@unitbv.ro

Descarcă CV

Interese de cercetare

  • Teoria algebrică a numerelor:
    • Corpuri de numere algebrice, teorie Galois
    • Teoria ramificării in corpuri de numere algebrice
    • Teoria corpului claselor
    • Ecuaţii diofantice
    • Curbe eliptice, L-funcţii
  • Algebre asociative (studiate cu tehnici de teoria algebrică a numerelor):
    • Algebre de cuaternioni
    • Algebre simbol
    • Alte algebre centrale simple
  • Combinatorică:
    • Numere Fibonacci, Lucas, Pell, Horadam, funcţii generatoare, șiruri definite prin recurenṭe liniare.

Publicaṭii (selecṭie)

  • 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