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Category: Journal of Mathematical Physics

2D Toda τ functions, weighted Hurwitz numbers and the Cayley graph: Determinant representation and recursion formula

2D Toda τ functions, weighted Hurwitz numbers and the Cayley graph: Determinant representation and recursion formula

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. We generalize the determinant representation of the Kadomtsev–Petviashvili τ functions to the case of the 2D Toda τ functions. The generating functions for the weighted Hurwitz numbers …