%0 Journal Article %T A sup-Hodge bound for exponential sums %A Chunlei Liu %J Mathematics %D 2009 %I arXiv %X The $C$-function of $T$-adic exponential sums is studeid. An explicit arithmetic bound is established for the Newton polygon of the $C$-function. This polygon lies above the Hodge polygon. It gives a sup-Hodge bound of the $C$-function of $p$-power order exponential sums. %U http://arxiv.org/abs/1001.0058v1