Exponents of Diophantine Approximation and Sturmian Continued Fractions

Details Exponents of Diophantine Approximation and Sturmian Continued Fractions Exponents of Diophantine Approximation and Sturmian Continued Fractions

2004-06-03

arxiv.org/abs/math/0406064v1

Mathematics

Number Theory

25 pages

Scientific paper

Let x be a real number and let n be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents w_n(x) and w_n^*(x) defined by Mahler and Koksma. We calculate their six values when n=2 and x is a real number whose continued fraction expansion coincides with some Sturmian sequence of positive integers, up to the initial terms. In particular, we obtain the exact exponent of approximation to such a continued fraction x by quadratic surds.

Affiliated with

Also associated with

No associations

Rating

Exponents of Diophantine Approximation and Sturmian Continued Fractions 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 Exponents of Diophantine Approximation and Sturmian Continued Fractions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exponents of Diophantine Approximation and Sturmian Continued Fractions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-618323