1Department of Mathematics University of Michigan 530 Church Street Ann Arbor, MI 48109, U.S.A. 2Department of Mathematics University of Georgia at Athens Athens, GA 30602, U.S.A.
Acta Arithmetica, Tome 167 (2015) no. 1, pp. 19-42
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.
Keywords:
provide generalization continued fractions heisenberg group prove explicit estimate rate convergence infinite continued fraction several surprising analogs classical formulas about continued fractions
Affiliations des auteurs :
Anton Lukyanenko
1
;
Joseph Vandehey
2
1
Department of Mathematics University of Michigan 530 Church Street Ann Arbor, MI 48109, U.S.A.
2
Department of Mathematics University of Georgia at Athens Athens, GA 30602, U.S.A.
@article{10_4064_aa167_1_2,
author = {Anton Lukyanenko and Joseph Vandehey},
title = {Continued fractions on the {Heisenberg} group},
journal = {Acta Arithmetica},
pages = {19--42},
year = {2015},
volume = {167},
number = {1},
doi = {10.4064/aa167-1-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa167-1-2/}
}
TY - JOUR
AU - Anton Lukyanenko
AU - Joseph Vandehey
TI - Continued fractions on the Heisenberg group
JO - Acta Arithmetica
PY - 2015
SP - 19
EP - 42
VL - 167
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/aa167-1-2/
DO - 10.4064/aa167-1-2
LA - en
ID - 10_4064_aa167_1_2
ER -
%0 Journal Article
%A Anton Lukyanenko
%A Joseph Vandehey
%T Continued fractions on the Heisenberg group
%J Acta Arithmetica
%D 2015
%P 19-42
%V 167
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/aa167-1-2/
%R 10.4064/aa167-1-2
%G en
%F 10_4064_aa167_1_2
Anton Lukyanenko; Joseph Vandehey. Continued fractions on the Heisenberg group. Acta Arithmetica, Tome 167 (2015) no. 1, pp. 19-42. doi: 10.4064/aa167-1-2
