Generic twisted $T$-adic exponential sums of binomials

Chunlei Liu; Chuanze Niu

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arXiv · 0911.5182

Generic twisted $T$-adic exponential sums of binomials

Chunlei Liu·Chuanze Niu

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Abstract

The twisted $T$-adic exponential sum associated to $x^{d}+λx$ is studied. If $λ\neq0,$ then an explicit arithmetic polygon is proved to be the Newton polygon of the twisted $C$-function of the T-adic exponential sum. It gives the Newton polygons of the $L$-functions of twisted $p$-power order exponential sums.

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Chunlei Liu, Chuanze Niu. 2009-11-27. Generic twisted $T$-adic exponential sums of binomials. https://arxiv.org/abs/0911.5182

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