Lagrange's Theorem for continued fractions on the Heisenberg group

2014/09/01 by Joseph Vandehey, Vandehey, Joseph
Mathematics · #History and Theory of Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications #math.NT #msc:11A55

paper · pdf · doi:10.48550/arxiv.1409.0509

arxiv created 2014/09/01 · arxiv updated 2014/09/02

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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