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

Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Zenine, Nadjah

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only] (2007)

- Volume: 3, page Paper 099, 43 p., electronic only-Paper 099, 43 p., electronic only
- ISSN: 1815-0659

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topBoukraa, 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 -

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