周期序列、质数幂的二项式模数以及数学/音乐应用

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Advances in Applied Mathematics Pub Date : 2024-09-18 DOI:10.1016/j.aam.2024.102786

Luisa Fiorot , Riccardo Gilblas , Alberto Tonolo

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引用次数: 0

摘要

我们通过某些二项式系数 modulo a power of a prime 的新递推关系，研究了周期序列 modulo m 的迭代反差的演化。最后，我们将我们的结果应用于描述罗马尼亚作曲家维埃鲁在其《模之书》[20] 中考虑的序列的维埃鲁算子迭代应用动态。

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Periodic sequences, binomials modulo a prime power, and a math/music application

We study, through new recurrence relations for certain binomial coefficients modulo a power of a prime, the evolution of the iterated anti-differences of periodic sequences modulo m. We prove that one can reduce to study iterated anti-differences of constant sequences. Finally we apply our results to describe the dynamics of the iterated applications of the Vieru operator to the sequence considered by the Romanian composer Vieru in his Book of Modes [20].

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来源期刊

Advances in Applied Mathematics 数学-应用数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

85 days

期刊介绍： Interdisciplinary in its coverage, Advances in Applied Mathematics is dedicated to the publication of original and survey articles on rigorous methods and results in applied mathematics. The journal features articles on discrete mathematics, discrete probability theory, theoretical statistics, mathematical biology and bioinformatics, applied commutative algebra and algebraic geometry, convexity theory, experimental mathematics, theoretical computer science, and other areas. Emphasizing papers that represent a substantial mathematical advance in their field, the journal is an excellent source of current information for mathematicians, computer scientists, applied mathematicians, physicists, statisticians, and biologists. Over the past ten years, Advances in Applied Mathematics has published research papers written by many of the foremost mathematicians of our time.