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SUMMARY:Debyani Manna (Indian Institute of Technology Roorkee\, India)
DTSTART:20260718T140000Z
DTEND:20260718T142500Z
DTSTAMP:20260710T111454Z
UID:CANT2026/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/80/
 ">Extended Inverse results for restricted h-fold sumset in integer</a>\nby
  Debyani Manna (Indian Institute of Technology Roorkee\, India) as part of
  Combinatorial and additive number theory seminar (CANT 2026)\n\nLecture h
 eld in Science Center in the CUNY Graduate Center (4th floor).\n\nAbstract
 \nLet $A$ be a finite set of $k$ integers. For $2 \\leq h \\leq k$\, the r
 estricted h-fold sumset $h^{\\wedge}A$ is the set of all sums of $h$ disti
 nct elements of the set $A$. In additive combinatorics\, much of the focus
  has traditionally been on finite integer sets whose sumsets are unusually
  small (cf. Freiman’s theorem and its extensions). More recently\, Natha
 nson posed the inverse problem for the restricted sumset $h^{\\wedge}A$ wh
 en $|h^{\\wedge}A|$ is small. For $h \\in \\{2\,3\,4\\}$\, this question h
 as already been studied by Mohan and Pandey. In this article\, we study th
 e inverse problems for $h^{\\wedge}A$ with arbitrary $h \\geq 3$ and chara
 cterize all possible sets $A$ for certain cardinalities of $h^{\\wedge}A$.
  Joint work with Mohan and Ram Krishna Pandey.\n
LOCATION:https://researchseminars.org/talk/CANT2026/80/
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