Diophantine properties of real numbers generated by finite automata

Details Diophantine properties of real numbers generated by finite automata Diophantine properties of real numbers generated by finite automata

2006-01-25

arxiv.org/abs/math/0601604v1

Mathematics

Number Theory

Scientific paper

We study some diophantine properties of automatic real numbers and we present
a method to derive irrationality measures for such numbers. As a consequence,
we prove that the $b$-adic expansion of a Liouville number cannot be generated
by a finite automaton, a conjecture due to Shallit.

Affiliated with

Also associated with

No associations

Rating

Diophantine properties of real numbers generated by finite automata does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Diophantine properties of real numbers generated by finite automata, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diophantine properties of real numbers generated by finite automata will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404936