A note on exact approximations
arXiv:2601.10051
summary
The paper proves a simple result, using Hall's theorem, about real numbers that can be exactly approximated by rational numbers.
Abstract
Based on M. Hall's theorem we prove a simple result dealing with real numbers which admit exact approximations by rationals.
9 pages, more precise results and exposition
Topics & keywords
#rational approximation#diophantine approximation#hall's theorem#exact approximation#real numbershall's theoremexact approximationrational approximationreal numbersdiophantine approximation