Inhomogeneous Diophantine approximation of some Hurwitzian numbers

Details Inhomogeneous Diophantine approximation of some Hurwitzian numbers Inhomogeneous Diophantine approximation of some Hurwitzian numbers

2007-10-01

arxiv.org/abs/0710.0399v1

Mathematics

Number Theory

Diophantine Analysis and Related Fields 2007, Keio University, Japan

Scientific paper

10.1063/1.2841909

We continue the work of Takao Komatsu by considering the inhomogeneous approximation constant L(\theta,\phi) for Hurwitzian numbers \theta, and rationally related \phi(r \theta +m)/n in Q(\theta) +Q. The current work uses a compactness theorem to relate such inhomogeneous constants to the homogeneous approximation constants. Among the new results are: a characterization of such pairs \theta,\phi for which L(\theta,\phi) is zero; consideration of small values of n^2 L(e^{2/s},\phi); and the proof of a conjecture of Komatsu.

Affiliated with

Also associated with

No associations

Rating

Inhomogeneous Diophantine approximation of some Hurwitzian numbers 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 Inhomogeneous Diophantine approximation of some Hurwitzian numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inhomogeneous Diophantine approximation of some Hurwitzian numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6565