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Expansions in multiple bases
Acta Mathematica Hungarica ( IF 0.9 ) Pub Date : 2020-11-28 , DOI: 10.1007/s10474-020-01094-7
Y.-Q. Li

Expansion of real number is a basic research topic in number theory. Usually we expand real numbers in one given base. In this paper, we systematically begin to study expansions in multiple given bases in a reasonable way, which is a generalization in the sense that if all the bases are taken to be the same, we return to the classical expansions in one base. In particular, we focus on greedy, quasi-greedy, lazy, quasi-lazy and unique expansions in multiple bases.

中文翻译:

多基地扩张

实数的展开是数论的一个基础研究课题。通常我们以一个给定的基数展开实数。在本文中,我们系统地开始以合理的方式研究多个给定基的展开,这是一种概括,即如果所有基都相同,我们将返回一个基中的经典展开。特别地,我们专注于多基中的贪婪、准贪婪、懒惰、准懒惰和独特的扩展。
更新日期:2020-11-28
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