Generic twisted $T$-adic exponential sums of binomials

Abstract

The twisted $T$-adic exponential sum associated to $x^d+\lambda x$ is studied. If $\lambda \ne 0,$ then an explicit arithmetic polygon is proved to be the Newton polygon of the twisted $C$-function of the T-adic exponential sum. It gives the Newton polygons of the $L$-functions of twisted $p$-power order exponential sums.

References in corpus (2)

• T-adic exponential sums under diagonal base change
• Generic T-adic exponential sums in one variable