Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions

Details Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions

2002-10-18

arxiv.org/abs/math/0210298v1

Internat. Math. Res. Notices. 2001, no. 9, 453--486

Mathematics

Number Theory

27 pages

Scientific paper

An analogue of the convergence part of the Khintchine-Groshev theorem, as
well as its multiplicative version, is proved for nondegenerate smooth
submanifolds in $\mathbb{R}^n$. The proof combines methods from metric number
theory with a new approach involving the geometry of lattices in Euclidean
spaces.

Affiliated with

Also associated with

No associations

Rating

Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions 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 Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-197628