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arXiv 0801.0556math.NTmath.CO
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在所有可辨认的东西上

Sur les ensembles d'entiers reconnaissables

Fabien Durand

摘要:

设U和V是两个Bertrand数制,a和b是两个自然关联的帕里数。假设它们是乘法独立的。证明了:如果E是U和V都可识别的正整数子集,则E是算术级数的有限并.

英文摘要:

Let U and V be two Bertrand numeration systems, and, a and b the two Parry numbers there are naturally associated with. Suppose they are multiplicatively independent. We prove that, if E is a subset of positive integers which is both U and V recognizable, then E is a finite union of arithmetical progressions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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