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SUMMARY:Fumichika Takamizo (Osaka Metropolitan University)
DTSTART:20231017T120000Z
DTEND:20231017T130000Z
DTSTAMP:20260423T021324Z
UID:OWNS/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/119/">F
 inite $\\beta$-expansion of natural numbers</a>\nby Fumichika Takamizo (Os
 aka Metropolitan University) as part of One World Numeration seminar\n\n\n
 Abstract\nIf $\\beta$ is an integer\, then each $x \\in \\mathbb{Z}[1/\\be
 ta] \\cap [0\,\\infty)$ has finite expansion in base $\\beta$. As a genera
 lization of this property for $\\beta>1$\, the condition (F$_{1}$) that ea
 ch $x \\in \\mathbb{N}$ has finite $\\beta$-expansion was proposed by Frou
 gny and Solomyak. \nIn this talk\, we give a sufficient condition for (F$_
 {1}$). Moreover we also find $\\beta$ with property (F$_{1}$) which does n
 ot have positive finiteness property.\n
LOCATION:https://researchseminars.org/talk/OWNS/119/
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