Determinant representations for Garvan formulas
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917346283618304 |
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| author | Levin, D. Shin, H. -G. Zuevsky, A. |
| author_facet | Levin, D. Shin, H. -G. Zuevsky, A. |
| contents | 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 $η$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Determinant representations for Garvan formulas Levin, D. Shin, H. -G. Zuevsky, A. Functional Analysis 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 $η$-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. |
| title | Determinant representations for Garvan formulas |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.01301 |