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SUMMARY:Noah Lebowitz-Lockard
DTSTART:20250522T180000Z
DTEND:20250522T182500Z
DTSTAMP:20260423T010423Z
UID:CANT2025/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/45/
 ">Partitions and ordered products</a>\nby Noah Lebowitz-Lockard as part of
  Combinatorial and additive number theory (CANT 2025)\n\nLecture held in C
 UNY Graduate Center - Science Center (4th floor).\n\nAbstract\nLet $g(n)$ 
 be the number of ways to express $n$ as an ordered partition of numbers gr
 eater than $1$. We also let $a(n)$ be the number of partitions of $n$ of t
 he form $n_1 + n_2 + \\cdots + n_k$\, where $n_i$ is a multiple of $n_{i +
  1}$ and the $n_i$  are distinct. Though there is substantial research aro
 und $g(n)$\, much less is known about $a(n)$. We discuss these two functio
 ns\, as well as some new asymptotics on $a(n)$.\n
LOCATION:https://researchseminars.org/talk/CANT2025/45/
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