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arXiv · 1908.04365

On $q$-deformed real numbers

Sophie Morier-Genoud·Valentin Ovsienko
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Abstract

We associate a formal power series with integer coefficients to a positive real number, we interpret this series as a "$q$-analogue of a real." The construction is based on the notion of $q$-deformed rational number introduced in arXiv:1812.00170. Extending the construction to negative real numbers, we obtain certain Laurent series.

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BibTeXRIS

Sophie Morier-Genoud, Valentin Ovsienko. 2019-10-07. On $q$-deformed real numbers. https://doi.org/10.1080/10586458.2019.1671922

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