Intersective Polynomials and Diophantine Approximation

Abstract

We extend results on Diophantine approximation modulo 1 to intersective polynomials, and by applying Schmidt's lattice method, we obtain results on simultaneous Diophantine approximation modulo 1 for systems of jointly intersective polynomials. We also study prime analogs of these topics.

Locations

• International Mathematics Research Notices - View
• arXiv (Cornell University) - PDF