On the Non-vanishing of the D'Arcais Polynomials
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915483964407808 |
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| author | Heim, Bernhard Neuhauser, Markus |
| author_facet | Heim, Bernhard Neuhauser, Markus |
| contents | In this paper we invest in the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function. This is reflected in non-vanishing properties of the D'Arcais polynomials. We generalize and improve results of Heim--Luca--Neuhauser and Żmija. We apply methods from algebraic number theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Non-vanishing of the D'Arcais Polynomials Heim, Bernhard Neuhauser, Markus Number Theory In this paper we invest in the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function. This is reflected in non-vanishing properties of the D'Arcais polynomials. We generalize and improve results of Heim--Luca--Neuhauser and Żmija. We apply methods from algebraic number theory. |
| title | On the Non-vanishing of the D'Arcais Polynomials |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.06123 |