有限自相似序列，排列循环和音乐组成

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematics and the Arts Pub Date : 2022-07-03 DOI:10.1080/17513472.2022.2116745

Christopher Adler, J. Allouche

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引用次数: 0

摘要

我们部分地破译了第一作者的音乐作品中使用的有限整数序列家族，特别是通过展示它们与算术经典问题(排列中的计数循环，素数的原始根模，维费里希素数等)以及洗牌艺术和杂耍艺术有关。图形抽象

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Finite self-similar sequences, permutation cycles, and music composition

We partly decipher a family of finite integer sequences used in a musical composition of the first author, by showing in particular that they relate to arithmetic classical problems (counting cycles in a permutation, primitive roots modulo a prime number, Wieferich primes, etc.), and also to the art of shuffling cards and to the art of juggling. GRAPHICAL ABSTRACT

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来源期刊

Journal of Mathematics and the Arts MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

0.50

自引率

0.00%

发文量