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arXiv 1908.04365math.QA
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关于$q$ -变形的实数

On $q$-deformed real numbers

Sophie Morier-Genoud, Valentin Ovsienko

摘要:

我们将一个形式的整数系数幂级数与一个正实数相关联,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$q$ -变形的有理数的概念。将其推广到负实数,得到了一类洛朗级数.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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