Vanishing coefficients in two $q$-series related to Legendre-signed partitions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913598311235584 |
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| author | Daniels, Taylor |
| author_facet | Daniels, Taylor |
| contents | We demonstrate some 10-periodic properties of the coefficients of two $q$-series related to partition numbers signed by the Legendre symbol $(\frac{a}{5})$ and to the Rogers-Ramanujan continued fraction $R(q)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07956 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vanishing coefficients in two $q$-series related to Legendre-signed partitions Daniels, Taylor Number Theory 11B65, 11P83 We demonstrate some 10-periodic properties of the coefficients of two $q$-series related to partition numbers signed by the Legendre symbol $(\frac{a}{5})$ and to the Rogers-Ramanujan continued fraction $R(q)$. |
| title | Vanishing coefficients in two $q$-series related to Legendre-signed partitions |
| topic | Number Theory 11B65, 11P83 |
| url | https://arxiv.org/abs/2401.07956 |