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arXiv · 2508.01301

Determinant representations for Garvan formulas

D. Levin·H. -G. Shin·A. Zuevsky
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Abstract

In this note, we demonstrate how determinant representations for correlation functions in conformal field theory can be used to derive explicit determinant formulas for powers of the classical $\eta$-function, expressed via deformed elliptic functions with parameters. In particular, we obtain counterparts of Garvan's formulas for the modular discriminant corresponding to the genus two Riemann surface case.

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D. Levin, H. -G. Shin, A. Zuevsky. 2025-08-02. Determinant representations for Garvan formulas. https://arxiv.org/abs/2508.01301

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