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| Autor principal: | |
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| Formato: | Recurso digital |
| Idioma: | inglês |
| Publicado em: |
Zenodo
2026
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.5281/zenodo.19456664 |
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Sumário:
- <p>We prove A(pm) ≡ A(m) (mod p⁴) for all primes p ≥ 5 and all m ≥ 1, where A_n = 27^n [z^n] ₂F₁(1/3,1/3;1;z)³. The proof combines a Hecke descent from level 3p to level 3, a Fricke–Hecke intertwining lemma giving a cusp-zero filtration, and a weakly holomorphic basis on X₀(3). No case-by-case computation is needed; the argument is uniform in p. Supplementary scripts provide independent verification for all primes up to 499.</p> <p><a href="https://arxiv.org/abs/2604.06238">https://arxiv.org/abs/2604.06238</a></p>