On q-Deformed Real Numbers

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On q-Deformed Real Numbers

Morier-Genoud, Sophie; Ovsienko, Valentin

Experimental mathematics, 07/2022, Volume: 31, Issue: 2

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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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Morier-Genoud, Sophie | Ovsienko, Valentin

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