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Abstract: The twisted $T$-adic exponential sum associated to a polynomial in onevariable is studied. An explicit arithmetic polygon in terms of the highest twoexponents of the polynomial is proved to be a lower bound of the Newton polygonof the $C$-function of the twisted T-adic exponential sum. This bound giveslower bounds for the Newton polygon of the $L$-function of twisted $p$-powerorder exponential sums.



Author: Chunlei Liu, Wenxin Liu

Source: https://arxiv.org/







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