In Search of Comrade Agronomof: Some Tribonacci History

IF 0.4 4区数学 Q4 MATHEMATICS

American Mathematical Monthly Pub Date : 2023-08-23 DOI:10.1080/00029890.2023.2231796

H. Tuenter

引用次数: 0

Abstract

Abstract A note from May 1914 by a certain Agronomof in the Belgian journal Mathesis is frequently cited in the context of the mathematical history of the Tribonacci number sequence. We round out the historical perspective by providing details on Agronomof’s life and work, and highlight two late-nineteenth-century occurrences of this number sequence. One occurrence is connected to Charles Darwin’s On the Origin of Species. Furthermore, we show that the main identity in Agronomof’s note can be leveraged to derive several nontrivial identities with surprising ease and elegance. Some of these identities have only recently been proven by different and more laborious methods; others are new.

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寻找农学家同志:一些Tribonacci的历史

在讨论Tribonacci数列的数学历史时，经常引用比利时《数学》杂志上某Agronomof于1914年5月发表的一篇注释。我们通过提供agonomof的生活和工作细节来完善历史视角，并强调19世纪后期出现的两个数字序列。其中一个事件与查尔斯·达尔文的《物种起源》有关。此外，我们还证明了可以利用Agronomof笔记中的主恒等式以令人惊讶的轻松和优雅的方式推导出几个非平凡恒等式。其中一些身份直到最近才被不同的、更费力的方法证明;还有一些是新的。

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

American Mathematical Monthly Mathematics-General Mathematics

CiteScore

0.80

自引率

20.00%

发文量

127

审稿时长

6-12 weeks

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