Continued fractions on the Heisenberg group
Anton Lukyanenko; Joseph Vandehey
Acta Arithmetica (2015)
- Volume: 167, Issue: 1, page 19-42
- ISSN: 0065-1036
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topAnton Lukyanenko, and Joseph Vandehey. "Continued fractions on the Heisenberg group." Acta Arithmetica 167.1 (2015): 19-42. <http://eudml.org/doc/279141>.
@article{AntonLukyanenko2015,
abstract = {We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.},
author = {Anton Lukyanenko, Joseph Vandehey},
journal = {Acta Arithmetica},
keywords = {continued fractions; Heisenberg group},
language = {eng},
number = {1},
pages = {19-42},
title = {Continued fractions on the Heisenberg group},
url = {http://eudml.org/doc/279141},
volume = {167},
year = {2015},
}
TY - JOUR
AU - Anton Lukyanenko
AU - Joseph Vandehey
TI - Continued fractions on the Heisenberg group
JO - Acta Arithmetica
PY - 2015
VL - 167
IS - 1
SP - 19
EP - 42
AB - We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.
LA - eng
KW - continued fractions; Heisenberg group
UR - http://eudml.org/doc/279141
ER -
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