摘要
The twisted T-adic exponential sums associated to a polynomial in one variable are 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 sums.This bound gives lower bounds for the Newton polygon of the L-function of twisted p-power order exponential sums.
The twisted T-adic exponential sums associated to a polynomial in one variable are 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 sums.This bound gives lower bounds for the Newton polygon of the L-function of twisted p-power order exponential sums.
作者
LIU ChunLei1,& LIU WenXin2,3 1Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China
2Department of Fundamental Subject,Tianjin Institute of Urban Construction,Tianjin 300384,China
3School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China
基金
supported by National Natural Science Foundation of China (Grant No.10671015)
