Jay Pantone

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

with Tony Guttmann, Iwan Jensen, and Jean-Marie Maillard.

We study the class of non-holonomic power series with integer coefficients that reduce, modulo primes, or powers of primes, to algebraic functions. In particular we try to determine whether the susceptibility of the square-lattice Ising model belongs to this class, and more broadly whether the susceptibility is a solution of a differentially algebraic equation.