3 papers
math-ph2026
Lattice Green's function of the hyperkagome lattice: modular uniformization at level 30 from an orthogonal differential Galois group
Bryan Nasr, Jean-Marie Maillard
The lattice Green's functions of the cubic lattices are classical: each is a symmetric square of a second-order operator, with a closed form in complete elliptic integrals. The hyp…
math-ph2025
On the diagonals of rational functions: the minimal number of variables (unabridged version)
S. Hassani, J-M. Maillard, N. Zenine
From some observations on the linear differential operators occurring in the Lattice Green function of the d-dimensional face centred and simple cubic lattices, and on the linear d…
math-ph2023
Plea for diagonals and telescopers of rational functions
S. Hassani, J-M. Maillard, N. Zenine
This paper is a plea for diagonals and telescopers of rational, or algebraic, functions using creative telescoping, in a computer algebra experimental mathematics learn-by-examples…