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arXiv · 0901.0354

Generic T-adic exponential sums in one variable

Chunlei Liu·Wenxin Liu·Chuanze Niu
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Abstract

The $T$-adic exponential sum associated to a Laurent polynomial in one variable is studied. An explicit arithmetic polygon is proved to be the generic Newton polygon of the $C$-function of the T-adic exponential sum. It gives the generic Newton polygon of $L$-functions of $p$-power order exponential sums.

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Chunlei Liu, Wenxin Liu, Chuanze Niu. 2009-11-03. Generic T-adic exponential sums in one variable. https://arxiv.org/abs/0901.0354

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