Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics

DOI10.1088/1751-8113/49/7/074001zbMath1342.82021arXiv1510.04651OpenAlexW2340826324MaRDI QIDQ2994516

Jean-Marie Maillard, Salah Boukraa

Publication date: 2 August 2016

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

Full work available at URL: https://arxiv.org/abs/1510.04651

zbMATH Keywords

nonlinear differential equationsdiagonals of rational functionssusceptibility of the Ising modelmodulo prime calculationsnon-holonomic functionsenumeration of coloured maps

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Schwarzian conditions for linear differential operators with selected differential Galois groups ⋮ Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics ⋮ The lambda extensions of the Ising correlation functions C(M,N)

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