English

Oscillation of irrational measure function in the multidimensional case

Number Theory 2015-01-29 v1

Abstract

We proved that difference function ψΘψΘ\psi_\Theta-\psi_{\Theta'} for almost all pairs Θ\Theta, Θ\Theta' in cases m=1m=1, n=2n=2 or m2m\geqslant2 and n=1n=1 changes its sign infinity many times as t+t\rightarrow+\infty.

Cite

@article{arxiv.1501.07097,
  title  = {Oscillation of irrational measure function in the multidimensional case},
  author = {Denis Shatskov},
  journal= {arXiv preprint arXiv:1501.07097},
  year   = {2015}
}

Comments

17 pages, in Russian

R2 v1 2026-06-22T08:14:51.344Z