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SUMMARY:Mel Nathanson (CUNY)
DTSTART:20260910T190000Z
DTEND:20260910T200000Z
DTSTAMP:20260906T211218Z
UID:NYNTS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/1/">Si
 don sets with Delta-separated sumsets</a>\nby Mel Nathanson (CUNY) as part
  of New York Number Theory Seminar\n\n\nAbstract\nThe set $A$ is a $B_h$-s
 et if every element of the sumset $hA$ has a unique representation as a su
 m of $h$ elements of $A$.  A $B_2$-set is also called a Sidon set.  A $B_{
 h\,\\Delta}$-set is a $B_h$-set $A$ whose sumset $hA$ is $\\Delta$-separat
 ed\, that is\, \n$x'-x \\geq \\Delta$ for all $x\,x' \\in hA$ with $x < x'
 $.\nUpper and lower bounds are obtained for the cardinality of the largest
  $B_{2\,\\Delta}$-sets contained in   $\\{1\,2\,\\ldots\, n\\}$\, that is\
 , sets $A \\subseteq \\{1\,2\,\\ldots\, n\\}$ such that\, if $a\,b\,c\,d \
 \in A$ and $\\{a\,b\\} \\neq \\{c\,d\\}$\, then $|(a+b)-(c+d)| \\geq \\Del
 ta$.\n
LOCATION:https://researchseminars.org/talk/NYNTS/1/
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