Lower bounds for simultaneous Diophantine approximation constants

Werner Georg Nowak

Communications in Mathematics (2014)

  • Volume: 22, Issue: 1, page 71-76
  • ISSN: 1804-1388

Abstract

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After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Diophantine approximation constants θ s , new lower bounds are deduced for θ 6 and θ 7 .

How to cite

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Nowak, Werner Georg. "Lower bounds for simultaneous Diophantine approximation constants." Communications in Mathematics 22.1 (2014): 71-76. <http://eudml.org/doc/261962>.

@article{Nowak2014,
abstract = {After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Diophantine approximation constants $\theta _s$, new lower bounds are deduced for $\theta _6$ and $\theta _7$.},
author = {Nowak, Werner Georg},
journal = {Communications in Mathematics},
keywords = {geometry of numbers; Diophantine approximation; approximation constants; critical determinant; geometry of numbers; Diophantine approximation; approximation constants; critical determinant},
language = {eng},
number = {1},
pages = {71-76},
publisher = {University of Ostrava},
title = {Lower bounds for simultaneous Diophantine approximation constants},
url = {http://eudml.org/doc/261962},
volume = {22},
year = {2014},
}

TY - JOUR
AU - Nowak, Werner Georg
TI - Lower bounds for simultaneous Diophantine approximation constants
JO - Communications in Mathematics
PY - 2014
PB - University of Ostrava
VL - 22
IS - 1
SP - 71
EP - 76
AB - After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Diophantine approximation constants $\theta _s$, new lower bounds are deduced for $\theta _6$ and $\theta _7$.
LA - eng
KW - geometry of numbers; Diophantine approximation; approximation constants; critical determinant; geometry of numbers; Diophantine approximation; approximation constants; critical determinant
UR - http://eudml.org/doc/261962
ER -

References

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