2 problems

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Dwork's meromorphy conjecture for unit root L-functions
For $\kappa\in\mathbb{Z}_p$ , let … where $\pi_0(\bar{t})$ is the unit root associated with the closed point $\bar{t}$ . Dwork's conjecture. The unit root $L$ -function…
Conjecturesolveddwork-theory hyper-kloosterman-sums p-adic-l-functionsarXiv posted 2 days ago
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Conjecture on removing the coefficient $1-1/(p-1)$ for infinite symmetric power L-functions
Let $p$ be the residue characteristic, and consider the Hodge polygon associated with the infinite symmetric power $L$ -function of the hyper-Kloosterman family, denoted by…
Conjectureopenhyper-kloosterman-sums newton-polygons p-adic-l-functionsarXiv posted 2 days ago

Dwork's meromorphy conjecture for unit root L-functions