2 papers
math.NT2011★ 1 cited
Continued fractions for complex numbers and values of binary quadratic forms
S. G. Dani, Arnaldo Nogueira
We describe various properties of continued fraction expansions of complex numbers in terms of Gaussian integers. Numerous distinct such expansions are possible for a complex numbe…
math.DS2002
Some two-step and three-step nilpotent Lie groups with small automorphism groups
S. G. Dani
We construct examples of two-step and three-step nilpotent Lie groups whose automorphism groups are `small' in the sense of either not having a dense orbit for the action on the Li…