On the Littlewood conjecture in simultaneous Diophantine approximation

Details On the Littlewood conjecture in simultaneous Diophantine approximation On the Littlewood conjecture in simultaneous Diophantine approximation

2005-11-28

arxiv.org/abs/math/0511678v1

Mathematics

Number Theory

Scientific paper

For any given real number $\alpha$ with bounded partial quotients, we
construct explicitly continuum many real numbers $\beta$ with bounded partial
quotients for which the pair $(\alpha, \beta)$ satisfies a strong form of the
Littlewood conjecture. Our proof is elementary and rests on the basic theory of
continued fractions.

Affiliated with

Also associated with

No associations

Rating

On the Littlewood conjecture in simultaneous Diophantine approximation 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 On the Littlewood conjecture in simultaneous Diophantine approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Littlewood conjecture in simultaneous Diophantine approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-25434