2 problems

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Greenberg's conjecture on generic nonvanishing along the central line
Let $L_p(s,\kappa)$ be the two-variable $p$ -adic $L$ -function attached to a Hida family, with $s$ the $p$ -adic $L$ -function variable and $\kappa$ the weight variable. Consider the…
Conjectureopenexceptional-zeroes hida-families p-adic-l-functionsarXiv posted 2 days ago
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Mazur–Tate–Teitelbaum conjecture on the derivative of the $p$ -adic $L$ -function
Let $E$ be an elliptic curve over a $p$ -adic field with split multiplicative reduction at $p$ , and let ${\mathcal L}_p(E)$ denote the $p$ -adic $L$ -invariant defined from the $p$ -ad…
Conjectureopenelliptic-curves exceptional-zeroes p-adic-l-functionsarXiv posted 2 days ago

Greenberg's conjecture on generic nonvanishing along the central line