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Expansions in multiple bases

Abstract : Expansion of real numbers is a basic research topic in number theory. Usually we expand real numbers in one given base. In this paper, we begin to systematically 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.
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https://hal.sorbonne-universite.fr/hal-03113186
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Submitted on : Monday, January 18, 2021 - 11:00:45 AM
Last modification on : Wednesday, January 20, 2021 - 3:38:00 AM

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Y.-Q. Li. Expansions in multiple bases. Acta Mathematica Hungarica, Springer Verlag, inPress, ⟨10.1007/s10474-020-01094-7⟩. ⟨hal-03113186⟩

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