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SUMMARY:Kübra Benli (Bogazici University)
DTSTART:20260114T160000Z
DTEND:20260114T170000Z
DTSTAMP:20260424T095046Z
UID:FGC-IPM/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/63/"
 >Sums of proper divisors with missing digits</a>\nby Kübra Benli (Bogazic
 i University) as part of FGC-HRI-IPM Number Theory Webinars\n\n\nAbstract\
 nLet $s(n)$ denote the sum of proper divisors of a positive integer $n$. I
 n 1992\, Erd\\H{o}s\, Granville\, Pomerance\, and Spiro conjectured that i
 f $\\mathcal{A}$ is a set of integers with asymptotic density zero then th
 e preimage set $s^{-1}(\\mathcal{A})$ also has asymptotic density zero. In
  this talk\, we will discuss the verification of this conjecture when $\\m
 athcal{A}$ is  the set of integers with missing digits (also known as elli
 psephic integers) by giving a quantitative estimate on the size of the set
  $s^{-1}(\\mathcal{A})$. This talk is based on the joint work with Giulia 
 Cesana\, C\\'{e}cile Dartyge\, Charlotte Dombrowsky\, Paul Pollack and Lol
 a Thompson.\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/63/
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