3 problems

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Vanishing-order bound for P-adic L-series of Anderson t-modules
Let $E$ be the Anderson $t$ -module under consideration over $L/K$ , let $P$ be a prime of $A$ , and let $\Omega_E$ be the period lattices associated with $E$ . Write $r_{\Omega_E}$ fo…
Conjectureopenanderson-t-modules p-adic-l-functions period-latticesarXiv posted 2 days ago
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Independence conjecture for the vanishing order of P-adic L-series
Let $E$ be the Anderson $t$ -module under consideration, let $P$ vary over primes of $A$ , and define the order of vanishing of the $P$ -adic $L$ -series at $z=1$ by … to be the greate…
Conjectureopenanderson-motives anderson-t-modules p-adic-l-functionsarXiv posted 2 days ago
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The injectivity conjecture for Anderson t-module exponentials
Injectivity conjecture. The $P$ -adic $L$ -series is non-zero if and only if the exponential map $\exp_E:L_\infty^d\rightarrow L_\infty^d$ is injective.
Conjectureopenanderson-t-modules exponential-maps p-adic-l-functionsarXiv posted 2 days ago

Vanishing-order bound for P-adic L-series of Anderson t-modules