[Turkmath:7366] FGC-HRI-IPM Number Theory Seminars::Ocak 14, 2026::Kübra Benli

[kazimilhan.ikeda]

Sayın Matematikçiler,

14 Ocak 2026 Çarşamba günü, saat 19:00'da FGC-HRI-IPM Sayılar Teorisi 
Seminerinin detayları aşağıdadır.

İyi çalışmalar,
İlhan İkeda

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Dear all,

Our next speaker is Kübra Benli from Bogazici University (Istanbul).

Date: Wednesday, January 14, 2026
Time: 19:00 (Istanbul LT), 19:30 (Tehran LT), 21:30 (Allahabad LT)

Speaker: Kübra Benli
Title: Sums of proper divisors with missing digits

Abstract:
Let $s(n)$ denote the sum of proper divisors of a positive integer $n$.
In 1992, Erd\H{o}s, Granville, Pomerance, and Spiro conjectured that if
$\mathcal{A}$ is a set of integers with asymptotic density zero then the
preimage set $s^{-1}(\mathcal{A})$ also has asymptotic density zero. In
this talk, we will discuss the verification of this conjecture when
$\mathcal{A}$ is  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 talk is based on the joint work with
Giulia Cesana, C\'{e}cile Dartyge, Charlotte Dombrowsky, Paul Pollack
and Lola Thompson.

Zoom details:
Zoom link: https://kocun.zoom.us/j/99715471656
Meeting ID: 997 1547 1656
Passcode: 848084

ICS file:
https://researchseminars.org/seminar/FGC-IPM/ics
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