Lagrange's Theorem for continued fractions on the Heisenberg group

Joseph Vandehey

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arXiv · 1409.0509

Lagrange's Theorem for continued fractions on the Heisenberg group

Joseph Vandehey

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Abstract

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.

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Joseph Vandehey. 2014-09-01. Lagrange's Theorem for continued fractions on the Heisenberg group. https://arxiv.org/abs/1409.0509

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