3 papers
math.NT2026
An integrality phenomenon
Florian Fürnsinn, Danylo Radchenko, Wadim Zudilin
We prove a general statement about the integrality of the sequences generated by a recursion of the following form: equals a linear combination of $u_{n-1},u_{n-2},\dots,u_0…
math.CO2025
Unexpectedly, a symmetry on unlabeled graphs
Florian Fürnsinn, Moritz Gangl, Martin Rubey
We exhibit the joint symmetric distribution of the following two parameters on the set of unlabeled, simple, connected graphs with vertices. The first parameter is the maximal…
math.NT2025
Galois groups of reductions modulo p of D-finite series
Xavier Caruso, Florian Fürnsinn, Daniel Vargas-Montoya
The aim of this paper is to investigate the algebraicity behavior of reductions of -finite power series modulo prime numbers. For many classes of D-finite functions, such as dia…