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PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Mel Nathanson (CUNY)
DTSTART:20260910T190000Z
DTEND:20260910T200000Z
DTSTAMP:20260927T134043Z
UID:NYNTS/1
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/NYNTS
 /1/">Sidon 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 
 $B_h$-set if every element of the sumset $hA$ has a unique representation 
 as a sum 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 $\\Delta$-
 separated\, 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   $\\{1\,2\,\\ldots\, n\\}$\, t
 hat is\, sets $A \\subseteq \\{1\,2\,\\ldots\, n\\}$ such that\, if $a\,b\
 ,c\,d \\in A$ and $\\{a\,b\\} \\neq \\{c\,d\\}$\, then $|(a+b)-(c+d)| \\ge
 q \\Delta$.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mel Nathanson (CUNY)
DTSTART:20260917T190000Z
DTEND:20260917T200000Z
DTSTAMP:20260927T134043Z
UID:NYNTS/2
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/NYNTS
 /2/">B_h-sets and perturbations in normed vector spaces</a>\nby Mel Nathan
 son (CUNY) as part of New York Number Theory Seminar\n\n\nAbstract\nThe su
 bset $A = \\{a_i:i \\in I\\}$ of a normed vector space is a $B_h$-set if e
 very element \nof the sumset $hA$ has a unique representation as a sum of 
 $h$ elements of $A$.  \nAn $\\varepsilon$-perturbation of $A$ is a set $A'
  = \\{a'_i:i\\in I\\}$ such that $|a'-a|<\\varepsilon$ \nfor all $i \\in I
 $. \nLet $\\Delta_{hA} = \\inf\\{|x'-x| : x\,x' \\in hA \\text{ and } x\\n
 eq x'\\}$.  \nIt is proved that if $A$ is  finite or countably infinite se
 t with $\\Delta_{hA}>0$\, \nthen there is a $B_h$-set $A'$ that is an $\\v
 arepsilon$-perturbation of $A$.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mel Nathanson (CUNY)
DTSTART:20260910T183000Z
DTEND:20260910T190000Z
DTSTAMP:20260927T134043Z
UID:NYNTS/3
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/NYNTS
 /3/">Discussion of AI and Navier-Stokes solution</a>\nby Mel Nathanson (CU
 NY) as part of New York Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mel Nathanson (Lehman College (CUNY))
DTSTART:20260924T190000Z
DTEND:20260924T200000Z
DTSTAMP:20260927T134043Z
UID:NYNTS/4
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/NYNTS
 /4/">Positivity and negativity for additive h-bases for n</a>\nby Mel Nath
 anson (Lehman College (CUNY)) as part of New York Number Theory Seminar\n\
 n\nAbstract\nA finite set $A$ of integers is an $h$-basis for $n$ if every
  integer in the interval of integers \n$\\{0\,1\,2\,\\ldots\, n\\}$ can be
  represented as the sum of exactly \n $h$  not necessarily distinct elemen
 ts of $A$.  \n In additive number theory\, attention has focused on sets o
 f nonnegative integers\, \n but one can also consider sets that contain ne
 gative integers and investigate  \n the effects of ``negativity'' on the c
 lassical problem of extremal properties of $h$-bases for $n$.    \nThere a
 re new results and  a new class of problems \nfor additive bases that cont
 ain both positive and negative integers.\n
LOCATION:
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BEGIN:VEVENT
SUMMARY:Kevin O'Bryant (College of Staten Island (CUNY))
DTSTART:20261001T190000Z
DTEND:20261001T200000Z
DTSTAMP:20260927T134043Z
UID:NYNTS/5
DESCRIPTION:Title: <a href="https://master.researchseminars.org/talk/NYNTS
 /5/">On the thickness of infinite generalized Sidon sets</a>\nby Kevin O'B
 ryant (College of Staten Island (CUNY)) as part of New York Number Theory 
 Seminar\n\n\nAbstract\nLet $A$ be an infinite ``generalized" Sidon set. We
  consider the possible values of $\\liminf_{n} A(n)/\\sqrt{n/\\log n}$. Er
 dos proved that this is finite for Sidon sets\, and Chen for $B_{2h}$-sets
 . We are concerned with actually bounding the limit for $B_{2h}$-sets and 
 $g$-Golomb rulers. We will review what is known for $B_h$-sets (odd $h$) a
 lso.\n
LOCATION:/talk/NYNTS/5/
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