Spectrum of the exponents of best rational approximation
Number Theory
2016-04-26 v2
Abstract
Using the new theory of W. M. Schmidt and L. Summerer called parametric geometry of numbers, we show that the going-up and going-down transference inequalities of W. M. Schmidt and M. Laurent describe the full spectrum of the exponents of best rational approximation to points in .
Keywords
Cite
@article{arxiv.1410.1007,
title = {Spectrum of the exponents of best rational approximation},
author = {Damien Roy},
journal= {arXiv preprint arXiv:1410.1007},
year = {2016}
}
Comments
13 pages, 4 figures, minor corrections since version 1