On a sign-change conjecture of Schlosser and Zhou
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929418761404416 |
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| author | Bringmann, Kathrin Heim, Bernhard Kane, Ben |
| author_facet | Bringmann, Kathrin Heim, Bernhard Kane, Ben |
| contents | In this paper, we investigate the signs changes of Fourier coefficients of infinite products of $q$-series of Rogers--Ramanujan type. In particular, we prove a conjecture made by Schlosser--Zhou pertaining to such sign changes for products of modulus $10$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03453 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a sign-change conjecture of Schlosser and Zhou Bringmann, Kathrin Heim, Bernhard Kane, Ben Combinatorics Number Theory In this paper, we investigate the signs changes of Fourier coefficients of infinite products of $q$-series of Rogers--Ramanujan type. In particular, we prove a conjecture made by Schlosser--Zhou pertaining to such sign changes for products of modulus $10$. |
| title | On a sign-change conjecture of Schlosser and Zhou |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2406.03453 |