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Approximating tau-functions by theta-functions (1807.03377v1)
Published 9 Jul 2018 in math-ph, math.AG, and math.MP
Abstract: We prove that the logarithm of an arbitrary tau-function of the KdV hierarchy can be approximated, in the topology of graded formal series by the logarithmic expansions of hyperelliptic theta-functions of finite genus, up to at most quadratic terms. As an example we consider theta-functional approximations of the Witten--Kontsevich tau-function.
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