Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?

DOI10.1088/1751-8113/49/50/504002zbMath1360.82023arXiv1607.04168OpenAlexW2485873745WikidataQ67576023 ScholiaQ67576023MaRDI QIDQ2960262

Jay Pantone, Iwan Jensen, Jean-Marie Maillard, Anthony J. Guttmann

Publication date: 8 February 2017

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

Full work available at URL: https://arxiv.org/abs/1607.04168

zbMATH Keywords

nonlinear differential equationsdiagonals of rational functionssusceptibility of the Ising modeldifferentially algebraic functionsmodulo prime calculationsnon-holonomic functions

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Schwarzian conditions for linear differential operators with selected differential Galois groups ⋮ On Christol’s conjecture ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics

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