底商偏序

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Advances in Applied Mathematics Pub Date : 2023-10-12 DOI:10.1016/j.aam.2023.102615

Jeffrey C. Lagarias , David Harry Richman

引用次数: 0

摘要

如果存在正整数k使得d=⌊n/k⌋，则正整数d是n的底商。底商关系定义了正整数的偏序。本文研究了这个偏序的内部结构及其Möbius函数。

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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The floor quotient partial order

A positive integer d is a floor quotient of n if there is a positive integer k such that $d = ⌊ n / k ⌋$ . The floor quotient relation defines a partial order on the positive integers. This paper studies the internal structure of this partial order and its Möbius function.

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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.