Generic twisted $T$-adic exponential sums of polynomials

Chunlei Liu; Chuanze Niu

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arXiv · 0911.4213

Generic twisted $T$-adic exponential sums of polynomials

Chunlei Liu·Chuanze Niu

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Abstract

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

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Chunlei Liu, Chuanze Niu. 2009-12-08. Generic twisted $T$-adic exponential sums of polynomials. https://arxiv.org/abs/0911.4213

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