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math.NT2026
On the digits of the sum of proper divisors
Kübra Benli, Cécile Dartyge, Charlotte Dombrowsky +2
We study several probabilistic questions concerning the digits of , the sum of proper divisors of an integer . In particular, we show that obeys Benford's law with…
math.NT2026
Central Values of -Functions of Twisted Modular Forms and Local Polynomials
Charlotte Dombrowsky
In this paper we study the product of two central values of -functions of a twisted modular. We show that it suffices to compute a local polynomial at a finite number of points…