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arxiv: 1409.0509 · v1 · pith:B6ITDD4Znew · submitted 2014-09-01 · 🧮 math.NT

Lagrange's Theorem for continued fractions on the Heisenberg group

classification 🧮 math.NT
keywords continuedfractionsgroupheisenberglagrangetheoremanalogeventually
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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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