Twisted exponential sums of polynomials in one variable

Chunlei Liu; Wenxin Liu

doi:10.1007/s11425-010-3144-2

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arXiv · 0912.1929

Twisted exponential sums of polynomials in one variable

Chunlei Liu·Wenxin Liu

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Abstract

The twisted $T$-adic exponential sum associated to a polynomial in one variable is studied. An explicit arithmetic polygon in terms of the highest two exponents of the polynomial is proved to be a lower bound of the Newton polygon of the $C$-function of the twisted T-adic exponential sum. This bound gives lower bounds for the Newton polygon of the $L$-function of twisted $p$-power order exponential sums.

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Chunlei Liu, Wenxin Liu. 2009-12-10. Twisted exponential sums of polynomials in one variable. https://doi.org/10.1007/s11425-010-3144-2

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