Work

Onq-Deformed Real Numbers

Year: 2019

Type: article

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.

Source: Experimental Mathematics

DOI: 10.1080/10586458.2019.1671922

Authors: Sophie Morier-Genoud, Valentin Ovsienko

Institutions: Centre National de la Recherche Scientifique, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, Laboratoire de Mathématiques de Reims, Université de Reims Champagne-Ardenne

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: mathematical physics, Surfaces, Categorification and Combinatorics of Cluster Algebras