From holonomy of the Ising model form factors to $n$-fold integrals and the theory of elliptic curves.

Boukraa, Salah, et al. "From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.." SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only] 3 (2007): Paper 099, 43 p., electronic only-Paper 099, 43 p., electronic only. <http://eudml.org/doc/54110>.

@article{Boukraa2007,
author = {Boukraa, Salah, Hassani, Saoud, Maillard, Jean-Marie, Zenine, Nadjah},
journal = {SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]},
keywords = {sigma form of Painlevé VI; two-point correlation functions of the lattice Ising model; Fuchsian linear differential equations; complete elliptic integrals; elliptic representation of Painlevé VI; scaling limit of the Ising model; susceptibility of the Ising model; singular behaviour; Fuchsian linear differential equations; apparent singularities; Landau singularities; pinch singularities; modular forms; Landen transformation; isogenies of elliptic curves; complex multiplication; Heegner numbers; moduli space of curves; pointed curves},
language = {eng},
pages = {Paper 099, 43 p., electronic only-Paper 099, 43 p., electronic only},
publisher = {Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine},
title = {From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.},
url = {http://eudml.org/doc/54110},
volume = {3},
year = {2007},
}

TY - JOUR
AU - Boukraa, Salah
AU - Hassani, Saoud
AU - Maillard, Jean-Marie
AU - Zenine, Nadjah
TI - From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.
JO - SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
PY - 2007
PB - Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine
VL - 3
SP - Paper 099, 43 p., electronic only
EP - Paper 099, 43 p., electronic only
LA - eng
KW - sigma form of Painlevé VI; two-point correlation functions of the lattice Ising model; Fuchsian linear differential equations; complete elliptic integrals; elliptic representation of Painlevé VI; scaling limit of the Ising model; susceptibility of the Ising model; singular behaviour; Fuchsian linear differential equations; apparent singularities; Landau singularities; pinch singularities; modular forms; Landen transformation; isogenies of elliptic curves; complex multiplication; Heegner numbers; moduli space of curves; pointed curves
UR - http://eudml.org/doc/54110
ER -