2 papers
math.NT2025
Continued fraction expansions of complex numbers, Lagrange's theorem, and badly approximable numbers
S. G. Dani, Ojas Sahasrabudhe
This paper concerns extension of the classical Lagrange theorem, on the eventual periodicity of continued fraction expansions of quadratic surds, and the versions of it found in th…
math.GR2025
On the almost algebraicity of groups of automorphisms of connected Lie groups
S. G. Dani, Riddhi Shah
Let be a connected Lie group, be the maximal compact connected subgroup of the center of , and let Aut denote the group of Lie automorphisms of , viewed, canonic…