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SUMMARY:Mel Nathanson (Lehman College and CUNY Graduate Center)
DTSTART:20260715T153000Z
DTEND:20260715T162000Z
DTSTAMP:20260710T111702Z
UID:CANT2026/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/35/
 ">Three problems in additive number theory</a>\nby Mel Nathanson (Lehman C
 ollege and CUNY Graduate Center) as part of Combinatorial and additive num
 ber theory seminar (CANT 2026)\n\nLecture held in Science Center in the CU
 NY Graduate Center (4th floor).\n\nAbstract\nThis will be an introduction 
 to three (possibly new) problems in additive number theory. The first conc
 erns the range and frequencies of the sizes of sumsets of finite sets of i
 ntegers. The second considers the sets $H$ of integers such that there exi
 sts an increasing sequence $(A_i)_{i=1}^{\\infty} A_i$ of sets of integers
  such that $h \\in H$ if and only if $h\\bigcap_{i=1}^{\\infty} A_i = \\bi
 gcap_{i=1}^{\\infty} hA_i$. The third asks about the possible sizes of $h$
 -bases for $n$ for finite sets of integers that contain at least one negat
 ive integer.\n
LOCATION:https://researchseminars.org/talk/CANT2026/35/
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