5 citations · 18 across the 19 of their papers we have counts for
19 papers
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…
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 denote the group of Lie automorphisms of , viewed, c…
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…
Kātyāyana Śulvasutra : Some Observations
S. G. Dani
The Kātyāyana Śulvasutra has been much less studied or discussed from a modern perspective, even though the first English translation of two adhyāyas (chapters) from it, by Thibaut…
Some constructions in the Mānava Śulvasūtra
S. G. Dani
The Mānava Śulvasūtra, while less sophisticated than the other śulvasūtras, is seen to contain some mathematical ideas and constructions not found in the other śulvasūtras. Here we…
Diophantine approximation with nonsingular integral transformations
S. G. Dani, Arnaldo Nogueira
Let be the multiplicative semigroup of all matrices with integral entries and positive determinant. Let and ($p…