8 citations · 39 across the 23 of their papers we have counts for
4 papers · 2 filters
A simpler normal number construction for simple Luroth series
Joseph Vandehey
Champernowne famously proved that the number formed by concatenating all the integers one after another is normal base 10. We give a…
Some normal numbers generated by arithmetic functions
Paul Pollack, Joseph Vandehey
Let . A real number is said to be g-normal if its base g expansion contains every finite sequence of digits with the expected limiting frequency. Let ϕdenote Euler's toti…
Diophantine properties of continued fractions on the Heisenberg group
Joseph Vandehey
We provide several results on the diophantine properties of continued fractions on the Heisenberg group, many of which are analogous to classical results for real continued fractio…
Continued fractions on the Heisenberg group
Anton Lukyanenko, Joseph Vandehey
We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several…