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Higher-weight theta exact-sequence and maximal-index conjecture
Higher-weight theta conjecture. There is a Hecke-equivariant exact sequence
Conjectureopenhecke-algebras modular-congruences modular-formsarXiv posted 2 days ago
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Fricke-sign conjecture for theta congruences in weights 2 and 4
Fricke-sign conjecture. If $f\in S_2(\overline{\mathbf{Z}}_p)$ and $g\in S_4(\overline{\mathbf{Z}}_p)$ are eigenforms satisfying $\theta f\equiv g\pmod p$ , then the $w_p$ -eigenvalu…
Conjectureopenmodular-congruences modular-formsarXiv posted 2 days ago

Higher-weight theta exact-sequence and maximal-index conjecture