Isingn-fold integrals as diagonals of rational functions and integrality of series expansions

DOI10.1088/1751-8113/46/18/185202zbMath1267.82021arXiv1211.6645OpenAlexW2009929421MaRDI QIDQ4923833

S. Hassani, Alin Bostan, Salah Boukraa, Jean-Marie Maillard, Gilles Christol

Publication date: 27 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6645

zbMATH Keywords

Ising modelCalabi-Yau ODEsPicard-Fuchs linear ODEs

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (14)

Heun functions and diagonals of rational functions ⋮ Multiple binomial sums ⋮ Iterated elliptic and hypergeometric integrals for Feynman diagrams ⋮ Application of Hadamard product to some combinatorial and probabilistic problems ⋮ New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences ⋮ On the representability of sequences as constant terms ⋮ Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? ⋮ Counting walks with large steps in an orthant ⋮ Creative Telescoping for Holonomic Functions ⋮ Linear differential equations as a data structure ⋮ Diagonals of rational functions, pullbacked $\boldsymbol{_2F_1}$ hypergeometric functions and modular forms ⋮ On Christol’s conjecture ⋮ On a class of hypergeometric diagonals ⋮ The lambda extensions of the Ising correlation functions C(M,N)

This page was built for publication: Isingn-fold integrals as diagonals of rational functions and integrality of series expansions