有限域上一类二项式的带扭指数和的P进黎曼假设

The p-adic Riemann Hypothesis of Exponential Sums Associated to Certain Binomials over Finite Fields

通过研究带扭的T进指数和,给出有限域上一类二项式带扭指数的L函数的牛顿折线的一个下界,并且所给的下界优于经典的Hodge界.

According to study the twisted T-adic exponential sums,an explicit arithmetic polygon was show to be the lower bound of the Newton polygon of the L-function of the exponential sums associated to certain binomials over finite fields.Moreover,the given bound is better than the classical Hodge bound.