Characterization of pure Hurwitz numbers

IF 0.5 2区数学 Q3 MATHEMATICS International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI:10.12988/IJA.2021.91530

J. Rodriguez, V. Bautista-Ancona

引用次数: 0

Abstract

We explore the nature of the continued fraction expansion of the Hurwitz numbers H = (ae2/n + b)/(ce2/n + d), with D = |ad− bc| 6 = 0. We prove some results for determinant pk with p a prime number. Also, we conjecture families of ‘pure’ Hurwitz numbers with determinant 2. Mathematics Subject Classification: 11A55, 11J70

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纯Hurwitz数的表征

我们探讨了Hurwitz数H = (ae2/n + b)/(ce2/n + d)的连分式展开式的性质，其中d = |ad−bc| 6 = 0。证明了p为素数时行列式pk的一些结果。同样，我们推测出行列式为2的“纯”Hurwitz数族。数学学科分类:11A55, 11J70

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.

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