M. Schmidt

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20172023

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math.NT2019

Exponential Sums of Witt Towers over Affinoids

Matthew Schmidt

In this paper we construct a Dwork theory for general exponential sums over affinoids in Witt towers. Using this, we compute the degree of the $L$ -function, its Hodge polygon and e…

math.NT2019

$T$ -adic Exponential Sums over Affinoids

Matthew Schmidt

We introduce and develop $(π, p)$ -adic Dwork theory for $L$ -functions of exponential sums associated to one-variable rational functions, interpolating $p^{k}$ -order exponential sums o…

Exponential Sums of Witt Towers over Affinoids

T-adic Exponential Sums over Affinoids

$T$ -adic Exponential Sums over Affinoids