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Dec 18, 2021 at 8:10 comment added Tom Copeland I had forgotten that this result is also found on p. 11 of "Modular Matrix Models" by Yang-Hui He and Vishnu Jejjala (arxiv.org/pdf/hep-th/0307293.pdf). I arrived at it recently (once again after encountering it several years ago) through a different method while relating an identity connected to a Virasoro group action presented by A. Alexandov in "Enumerative geometry, tau-functions and Heisenberg–Virasoro algebra" to earlier notes of mine.
Dec 18, 2021 at 5:56 history answered Tom Copeland CC BY-SA 4.0