Continued fraction expansions of complex numbers with Gaussian and Eisenstein integers

Carte non disponible

Date(s) - 19/06/2018
11 h 00 min - 12 h 00 min


Continued fraction expansions of real numbers have been the subject of much study for over two centuries and have played an important role in many branches of mathematics. Analogous study for complex numbers has received relatively little attention, though it was initiated already in the 1880s by Adolph Hurwitz. In this talk we shall trace the developments and describe some recent results concerning continued fraction expansions of complex numbers, mainly with respect to the rings of Gaussian and Eisenstein integers, and present some applications in Diophantine approximation.

Posts created 14

Articles similaires

Commencez à saisir votre recherche ci-dessus et pressez Entrée pour rechercher. ESC pour annuler.

Retour en haut
Secured By miniOrange