Chung-Graham展开
数论
2025-04-02 v1
摘要
Chung和Graham引入了一种方法，用于唯一表示每个正整数使用偶数索引的斐波那契项。我们将此结果推广到使用具有等间距索引的其他斐波那契项来表示每个正整数。
引用
@article{arxiv.2504.00314,
title = {The Chung-Graham Expansion},
author = {Sungkon Chang},
journal= {arXiv preprint arXiv:2504.00314},
year = {2025}
}
备注
A shorter version is accepted by Elemente der Mathematik, under the title "Expansions of positive integers in terms of Fibonacci terms with equally-spaced indices."