arXiv Analytics

Sign in

arXiv:1409.0509 [math.NT]AbstractReferencesReviewsResources

Lagrange's Theorem for continued fractions on the Heisenberg group

Joseph Vandehey

Published 2014-09-01Version 1

We prove an analog of Lagrange's Theorem for continued fractions on the Heisenberg group: points with an eventually periodic continued fraction expansion are those that satisfy a particular type of quadratic form, and vice-versa.

Related articles: Most relevant | Search more
arXiv:1309.5154 [math.NT] (Published 2013-09-20, updated 2014-08-11)
Diophantine properties of continued fractions on the Heisenberg group
arXiv:1302.6121 [math.NT] (Published 2013-02-25, updated 2013-05-22)
Continued fractions on the Heisenberg group
arXiv:1912.12930 [math.NT] (Published 2019-12-30)
Representations of finite number of quadratic forms with same rank