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SUMMARY:Ayla Gafni (University of Mississippi)
DTSTART:20210122T160000Z
DTEND:20210122T170000Z
DTSTAMP:20260423T035728Z
UID:hnts/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/21/">As
 ymptotics of restricted partition functions</a>\nby Ayla Gafni (University
  of Mississippi) as part of Heilbronn number theory seminar\n\n\nAbstract\
 n**NOTE THE UNUSUAL TIME AND DAY**\n\nGiven a set $\\mathcal A \\subset \\
 mathbb N$\, the restricted partition function $p_{\\mathcal{A}}(n)$ counts
  the number of integer partitions of $n$ with all parts in $\\mathcal A$. 
 In this talk\, we will explore the features of the restricted partitions f
 unction $p_{\\mathbb P_k}(n)$ where $\\mathcal P_k$ is the set of $k$-th p
 owers of primes. Powers of primes are both sparse and irregular\, which ma
 kes $p_{\\mathbb P_k}(n)$ quite an elusive function to understand. We will
  discuss some of the challenges involved in studying restricted partition 
 functions and what is known in the case of primes\, $k$-th powers\, and $k
 $-th powers of primes.\n
LOCATION:https://researchseminars.org/talk/hnts/21/
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