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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.NT2021
Generalized continued fraction expansions of complex numbers, and applications to quadratic and badly approximable numbers
S. G. Dani, Ojas Sahasrabudhe
We study the generalized continued fraction expansions of complex numbers in term of elements from Euclidean subrings, especially Gaussian or Eisenstein integers, in a general fram…