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BEGIN:VEVENT
SUMMARY:Mel Nathanson (CUNY)
DTSTART:20260910T190000Z
DTEND:20260910T200000Z
DTSTAMP:20261017T233734Z
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/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mel Nathanson (CUNY)
DTSTART:20260917T190000Z
DTEND:20260917T200000Z
DTSTAMP:20261017T233734Z
UID:NYNTS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/2/">B_
 h-sets and perturbations in normed vector spaces</a>\nby Mel Nathanson (CU
 NY) as part of New York Number Theory Seminar\n\n\nAbstract\nThe subset $A
  = \\{a_i:i \\in I\\}$ of a normed vector space is a $B_h$-set if every el
 ement \nof the sumset $hA$ has a unique representation as a sum of $h$ ele
 ments of $A$.  \nAn $\\varepsilon$-perturbation of $A$ is a set $A' = \\{a
 '_i:i\\in I\\}$ such that $|a'-a|<\\varepsilon$ \nfor all $i \\in I$. \nLe
 t $\\Delta_{hA} = \\inf\\{|x'-x| : x\,x' \\in hA \\text{ and } x\\neq x'\\
 }$.  \nIt is proved that if $A$ is  finite or countably infinite set with 
 $\\Delta_{hA}>0$\, \nthen there is a $B_h$-set $A'$ that is an $\\varepsil
 on$-perturbation of $A$.\n
LOCATION:https://researchseminars.org/talk/NYNTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mel Nathanson (CUNY)
DTSTART:20260910T183000Z
DTEND:20260910T190000Z
DTSTAMP:20261017T233734Z
UID:NYNTS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/3/">Di
 scussion of AI and Navier-Stokes solution</a>\nby Mel Nathanson (CUNY) as 
 part of New York Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/NYNTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mel Nathanson (Lehman College (CUNY))
DTSTART:20260924T190000Z
DTEND:20260924T200000Z
DTSTAMP:20261017T233734Z
UID:NYNTS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/4/">Po
 sitivity and negativity for additive h-bases for n</a>\nby Mel Nathanson (
 Lehman College (CUNY)) as part of New York Number Theory Seminar\n\n\nAbst
 ract\nA finite set $A$ of integers is an $h$-basis for $n$ if every intege
 r in the interval of integers \n$\\{0\,1\,2\,\\ldots\, n\\}$ can be repres
 ented as the sum of exactly \n $h$  not necessarily distinct elements of $
 A$.  \n In additive number theory\, attention has focused on sets of nonne
 gative integers\, \n but one can also consider sets that contain negative 
 integers and investigate  \n the effects of ``negativity'' on the classica
 l problem of extremal properties of $h$-bases for $n$.    \nThere are new 
 results and  a new class of problems \nfor additive bases that contain bot
 h positive and negative integers.\n
LOCATION:https://researchseminars.org/talk/NYNTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin O'Bryant (College of Staten Island (CUNY))
DTSTART:20261001T190000Z
DTEND:20261001T200000Z
DTSTAMP:20261017T233734Z
UID:NYNTS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/5/">On
  the thickness of infinite generalized Sidon sets</a>\nby Kevin O'Bryant (
 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 consid
 er the possible values of $\\liminf_{n} A(n)/\\sqrt{n/\\log n}$. Erdos pro
 ved that this is finite for Sidon sets\, and Chen for $B_{2h}$-sets. We ar
 e concerned with actually bounding the limit for $B_{2h}$-sets and $g$-Gol
 omb rulers. We will review what is known for $B_h$-sets (odd $h$) also.\n
LOCATION:https://researchseminars.org/talk/NYNTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noah Kravitz (Oxford University)
DTSTART:20261015T190000Z
DTEND:20261015T200000Z
DTSTAMP:20261017T233734Z
UID:NYNTS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/6/">In
 equalities among sums of dilates</a>\nby Noah Kravitz (Oxford University) 
 as part of New York Number Theory Seminar\n\n\nAbstract\nLet $c \\cdot A$ 
 denote the dilate of the set $A$ by the scalar $c$.  For which choices of 
 complex numbers $\\lambda_1\, \\ldots\, \\lambda_\\ell\, \\mu_1\, \\ldots\
 , \\mu_m$ does the inequality\n$$|\\lambda_1 \\cdot A+\\cdots+\\lambda_\\e
 ll \\cdot A| \\leq |\\mu_1 \\cdot A+\\cdots+\\mu_m \\cdot A|$$\nhold for a
 ll finite sets $A \\subseteq \\mathbb{C}$?  This question captures a vast 
 generalization of the more-sums-than-differences sets phenomenon.  We will
  discuss recent progress\, with a particular focus on the setting where th
 e dilates are integers.\n
LOCATION:https://researchseminars.org/talk/NYNTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David  Chudnovsky and Gregory Chudnovsky (NYU)
DTSTART:20261022T190000Z
DTEND:20261022T200000Z
DTSTAMP:20261017T233734Z
UID:NYNTS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/7/">40
  years later</a>\nby David  Chudnovsky and Gregory Chudnovsky (NYU) as par
 t of New York Number Theory Seminar\n\n\nAbstract\nWe describe new inequal
 ities related to various Diophantine problems.\n
LOCATION:https://researchseminars.org/talk/NYNTS/7/
END:VEVENT
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