Inhomogeneous theory of dual Diophantine approximation on manifolds

Details Inhomogeneous theory of dual Diophantine approximation on manifolds Inhomogeneous theory of dual Diophantine approximation on manifolds

2010-09-28

arxiv.org/abs/1009.5638v1

Mathematics

Number Theory

37 pages

Scientific paper

The inhomogeneous Groshev type theory for dual Diophantine approximation on manifolds is developed. In particular, the notion of nice manifolds is introduced and the divergence part of the theory is established for all such manifolds. Our results naturally incorporate and generalize the homogeneous measure and dimension theorems for non-degenerate manifolds established to date. The generality of the inhomogeneous aspect considered within enables us to make a new contribution even to the classical theory in R^n. Furthermore, the multivariable aspect considered within has natural applications beyond the standard inhomogeneous theory such as to Diophantine problems related to approximation by algebraic integers.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694760