Grids with dense values

Details Grids with dense values Grids with dense values

2011-01-20

arxiv.org/abs/1101.3941v1

Mathematics

Dynamical Systems

Scientific paper

Given a continuous function from Euclidean space to the real line, we analyze (under some natural assumption on the function), the set of values it takes on translates of lattices. Our results are of the flavor: For almost any translate, the set of values is dense in the set of possible values. The results are then applied to a variety of concrete examples, obtaining new information in classical discussions in different areas in mathematics; in particular, Minkowski's conjecture regarding products of inhomogeneous forms and inhomogeneous Diophantine approximations.

Affiliated with

Also associated with

No associations

Rating

Grids with dense values 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 Grids with dense values, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Grids with dense values will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333824