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SUMMARY:Debyani Manna (Indian Institute of Technology Roorkee)
DTSTART:20250520T143000Z
DTEND:20250520T145500Z
DTSTAMP:20260423T041653Z
UID:CANT2025/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/14/
 ">Some results on the extended inverse problem of $A+2 \\cdot A$</a>\nby D
 ebyani Manna (Indian Institute of Technology Roorkee) as part of Combinato
 rial and additive number theory (CANT 2025)\n\nLecture held in CUNY Gradua
 te Center - Science Center (4th floor).\n\nAbstract\nLet $A$ be a finite s
 et of integers and $A+ 2 \\cdot A= \\{a+2a': a\,a' \\in A\\}$.  An extende
 d inverse problem associated with the sumset  $A+2 \\cdot A$ is to  determ
 ine the underlying set $A$ when the size of the sumset $A+2 \\cdot A$ devi
 ates from the minimum possible size.\nWe find all possible arithmetic stru
 ctures of $A$ for certain cardinalities of $A + 2 \\cdot A$ and use them t
 o address extended inverse problems in the Baumslag-Solitar group $BS(1\,2
 )$. \nThis is joint work with Ram Krishna Pandey.\n
LOCATION:https://researchseminars.org/talk/CANT2025/14/
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