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.

中文翻译：

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关于 q 变形实数

摘要

我们将具有整数系数的形式幂级数与正实数相关联，我们将这个级数解释为“实数的q模拟”。该构造基于arXiv:1812.00170 中引入的q变形有理数的概念。将构造扩展到负实数，我们得到某些 Laurent 级数。