Number Theory and Mathematical Analysis - Fibonacci expansions

被引：0

作者：

Baiocchi, Claudio ^{[1
]}

Komornik, Vilmos ^{[2
]}

Loreti, Paola ^{[3
]}

机构：

[1] Accademia Nazl Lincei, Palazzo Corsini,Via Lungara 10, I-00165 Rome, Italy

[2] Univ Strasbourg, Dept Math, 7 Rue Rene Descartes, F-67084 Strasbourg, France

[3] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via Scarpa 16, I-00161 Rome, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2021年 / 32卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Non-integer base expansions; Kakeya sequences; Fibonacci sequence; Golden ratio; UNIQUE EXPANSIONS;

D O I：

10.4171/RLM/940

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Expansions in the Golden ratio base have been studied since a pioneering paper of Renyi more than sixty years ago. We introduce closely related expansions of a new type, based on the Fibonacci sequence, and we show that in some sense they behave better.

引用

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页码：379 / 389

页数：11

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