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SUMMARY:Jakub Konieczny (University of Oxford)
DTSTART:20250520T130000Z
DTEND:20250520T132500Z
DTSTAMP:20260423T041811Z
UID:CANT2025/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/11/
 ">Multiplicative generalised polynomial sequences</a>\nby Jakub Konieczny 
 (University of Oxford) as part of Combinatorial and additive number theory
  (CANT 2025)\n\nLecture held in CUNY Graduate Center - Science Center (4th
  floor).\n\nAbstract\nGeneralised polynomials are sequences constructed fr
 om polynomial sequences using the integer part function\, addition\, and m
 ultiplication. Determining whether a given sequence is a generalised polyn
 omial is often a non-trivial task. In joint work with J. Byszewski and B. 
 Adamczewski\, we have discovered both surprising examples of such sequence
 s and developed criteria to disprove that a given sequence is a generalise
 d polynomial. More broadly\, given a family of sequences\, one can pose a 
 classification problem: Which sequences in the family are generalized poly
 nomials? In this talk\, I will present a complete resolution of this probl
 em for the family of multiplicative sequences\, as well as partial results
  for (non-completely) multiplicative sequences.\n
LOCATION:https://researchseminars.org/talk/CANT2025/11/
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