2 papers
math.NT2003
A Stickleberger theorem for p-adic Gauss sums
Regis Blache
We define "splitting functions of level l" for any integer l>0. These functions generalize Dwork's splitting functions : they allow us to represent additive characters of order $p^…
math.NT2002
Lifts of points on curves and exponential sums
Regis Blache
We give bounds for exponential sums over curves defined over Galois rings. We first define summation subsets as the images of lifts of points from affine opens of the reduced curve…