高q连分数

IF 0.9 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2025-09-20 DOI:10.1016/j.ejc.2025.104244

Amanda Burcroff , Nicholas Ovenhouse , Ralf Schiffler , Sylvester W. Zhang

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引用次数: 0

摘要

我们引入了由最后三位作者（与Gregg Musiker一起）在之前的工作中引入的高连分数的q-类比，它同时是Morier-Genoud和Ovsienko的q-有序数的推广。它们被定义为特定偏置集上p分区生成函数的比率。我们给出了计算它们的矩阵公式，推广了前人在q=1情况下的结果。我们还证明了q-有理所具有的某些性质也被更高的版本所满足。

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Higher q-continued fractions

We introduce a

q

-analog of the higher continued fractions introduced by the last three authors in a previous work (together with Gregg Musiker), which are simultaneously a generalization of the

q

-rational numbers of Morier-Genoud and Ovsienko. They are defined as ratios of generating functions for

P

-partitions on certain posets. We give matrix formulas for computing them, which generalize previous results in the

q = 1

case. We also show that certain properties enjoyed by the

q

-rationals are also satisfied by our higher versions.

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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.