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math-ph2016★ 4 cited
The perimeter generating functions of three-choice, imperfect, and 1-punctured staircase polygons
M. Assis, M. van Hoeij, J-M. Maillard
We consider the isotropic perimeter generating functions of three-choice, imperfect, and 1-punctured staircase polygons, whose 8th order linear Fuchsian ODEs are previously known.…
math-ph2011★ 13 cited
Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi-Yau equations
M. Assis, S. Boukraa, S. Hassani +3
We give the exact expressions of the partial susceptibilities and for the diagonal susceptibility of the Ising model in terms of modular forms and Calabi-Ya…
math-ph2010★ 34 cited
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 ,…