54 citations · 500 across the 24 of their papers we have counts for
24 papers
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…
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…
Lattice Green Functions: the d-dimensional face-centred cubic lattice, d=8, 9, 10, 11, 12
S. Hassani, C. Koutschan, J-M. Maillard +1
We previously reported on a recursive method to generate the expansion of the lattice Green function of the -dimensional face-centred cubic lattice (fcc). The method was used to…
Lattice Green Functions: the seven-dimensional face-centred cubic lattice
Nadjah Zenine, Saoud Hassani, Jean-Marie Maillard
We present a recursive method to generate the expansion of the lattice Green function of the d-dimensional face-centred cubic (fcc) lattice. We produce a long series for d =7. Then…
The Ising model: from elliptic curves to modular forms and Calabi-Yau equations
A. Bostan, S. Boukraa, S. Hassani +4
We show that almost all the linear differential operators factors obtained in the analysis of the n-particle contribution of the susceptibility of the Ising model for ,…
Square lattice Ising model ODE in exact arithmetic
B. Nickel, I. Jensen, S. Boukraa +4
We obtain in exact arithmetic the order 24 linear differential operator and right hand side of the inhomogeneous equation, where $Φ^{(…