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papers

Publications (3)

math.NT2026

An integrality phenomenon

Florian FÃ¼rnsinn, Danylo Radchenko, Wadim Zudilin

We prove a general statement about the integrality of the sequences generated by a recursion of the following form: $n u_{n}$ equals a linear combination of $u_{n-1},u_{n-2},\dots,u_0…

math.CO2025

Unexpectedly, a symmetry on unlabeled graphs

Florian FÃ¼rnsinn, Moritz Gangl, Martin Rubey

We exhibit the joint symmetric distribution of the following two parameters on the set of unlabeled, simple, connected graphs with $n$ vertices. The first parameter is the maximal…

math.NT2025

Galois groups of reductions modulo p of D-finite series

Xavier Caruso, Florian FÃ¼rnsinn, Daniel Vargas-Montoya

The aim of this paper is to investigate the algebraicity behavior of reductions of $D$ -finite power series modulo prime numbers. For many classes of D-finite functions, such as dia…