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Determinant Formulas for the Toda and Discrete Toda Equations

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arxiv solv-int/9908007 v1 pith:JSHXB2MM submitted 1999-08-18 solv-int nlin.SI

Kenji Kajiwara(Doshisha Univ.) , Tetsu Masuda(Doshisha Univ.) , Masatoshi Noumi(Kobe Univ.) , Yasuhiro Ohta(Hiroshima Univ.) , Yasuhiko Yamada(Kobe Univ.) This is my paper · ORCID
classification solv-intnlin.SI
keywords todaequationsdeterminantdiscreteformulasapplicationdiscussedfunctions
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abstract

Determinant formulas for the general solutions of the Toda and discrete Toda equations are presented. Application to the $\tau$ functions for the Painlev\'e equations is also discussed.

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  1. Lattice path combinatorics in superconformal Yang-Mills theories

    hep-th 2025-08 conditional novelty 8.0 of 10

    Planar superconformal Yang-Mills determinant observables are shown to equal generalized Dyck path partition functions through a universal iterated integral expansion.

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