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SUMMARY:Kübra Benli (University of Lethbridge)
DTSTART:20231003T200000Z
DTEND:20231003T210000Z
DTSTAMP:20260423T021132Z
UID:NTC/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/27/">Sum
 s of proper divisors with missing digits</a>\nby Kübra Benli (University 
 of Lethbridge) as part of Lethbridge number theory and combinatorics semin
 ar\n\nLecture held in University of Lethbridge: M1060 (Markin Hall).\n\nAb
 stract\nIn 1992\, Erdős\, Granville\, Pomerance\, and Spiro conjectured t
 hat if $\\mathcal{A}$ is a set of integers with asymptotic density zero th
 en the preimage of $\\mathcal{A}$ under $s(n)$\, sum-of-proper-divisors fu
 nction\, also has asymptotic density zero. In this talk\, we will discuss 
 the verification of this conjecture when $\\mathcal{A}$ is taken to be the
  set of integers with missing digits (also known as ellipsephic integers) 
 by giving a quantitative estimate on the size of the set $s^{-1}(\\mathcal
 {A})$. This is joint work with Giulia Cesana\, Cécile Dartyge\, Charlotte
  Dombrowsky and Lola Thompson.\n
LOCATION:https://researchseminars.org/talk/NTC/27/
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