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

@inproceedings{Boukraa2016SelectedNF,
  title={Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics *},
  author={Salah Boukraa and J. Maillard},
  year={2016}
}
We recall that the full susceptibility series of the Ising model, modulo powers of the prime 2, reduce to algebraic functions. We also recall the nonlinear polynomial differential equation obtained by Tutte for the generating function of the q-coloured rooted triangulations by vertices, which is known to have algebraic solutions for all the numbers of the form j n 2 2 cos( ) p + , the holonomic status of q 4 = being unclear. We focus on the analysis of the q 4 = case, showing that the… CONTINUE READING

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