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.
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页码：379 / 389
页数：11
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