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Greenberg–Benois conjecture on trivial zeros and $\ell$ -invariants
Greenberg–Benois conjecture. If $\mathcal{L}_p(S,V)$ has $e_0+t$ trivial zeros, then $S^{e_0+t+r}$ divides it exactly and
Conjecturesolvedell-invariants galois-representations p-adic-l-functionsarXiv posted 2 days ago
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The extra-zero conjecture for p-adic L-functions
Let $V$ be a $p$ -adic representation satisfying conditions C1–4a, let $D$ be a regular subspace of $\mathbf D_{\mathrm{st}}(V)$ , and let $e=\mathrm{rank}(\mathbf W_0)$ . In the two…
Conjectureopenell-invariants exceptional-zero p-adic-l-functionsarXiv posted 2 days ago

Greenberg–Benois conjecture on trivial zeros and ℓ\ellℓ-invariants