On q-Deformed Real Numbers

Author:

Morier-Genoud Sophie1,Ovsienko Valentin2

Affiliation:

1. Sorbonne Université, CNRS, Institut de Mathématiques de Jussieu Paris Rive Gauche, Université de Paris, IMJ-PRG, Paris, France;

2. Centre National de la Recherche Scientifique, Laboratoire de Mathématiques, U.F.R. Sciences Exactes et Naturelles, Université de Reims Champagne-Ardenne, Reims, France

Publisher

Informa UK Limited

Subject

General Mathematics

Reference5 articles.

1. The Rogers–Ramanujan continued fraction

2. [Borwein et al. 14] J. Borwein, A. van der Poorten, J. Shallit and W. Zudilin, W. Neverending fractions. An introduction to continued fractions. In Australian Mathematical Society Lecture Series, 23. Cambridge, MA: Cambridge University Press, (2014).

3. [Hardy & Wright 08] G. H. Hardy & E. M. Wright. An introduction to the theory of numbers. Sixth edition (Revised by Heath-Brown, D. R., Silverman, J. H. With a Foreword by Andrew Wiles). Oxford, UK: Oxford University Press). p. 621 (2008).

4. Farey Boat: Continued Fractions and Triangulations, Modular Group and Polygon Dissections

5. [Stanley 12] R. Stanley. Enumerative Combinatorics, Vol. 1, 2nd ed. Cambridge Studies in Advanced Mathematics, 49. Cambridge, MA: Cambridge University Press, p. ivþ626, (2012).

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