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SUMMARY:Attila Pethő (University of Debrecen)
DTSTART:20200714T123000Z
DTEND:20200714T133000Z
DTSTAMP:20260423T053134Z
UID:OWNS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/11/">On
  diophantine properties of generalized number systems - finite and periodi
 c representations</a>\nby Attila Pethő (University of Debrecen) as part o
 f One World Numeration seminar\n\n\nAbstract\nIn this talk we investigate 
 elements with special patterns in their representations in number systems 
 in algebraic number fields. We concentrate on periodicity and on the repre
 sentation of rational integers. We prove under natural assumptions that th
 ere are only finitely many $S$-units whose representation is periodic with
  a fixed period. We prove that the same holds for the set of values of pol
 ynomials at rational integers.\n
LOCATION:https://researchseminars.org/talk/OWNS/11/
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