Formule de Trace pour le Anneaux de Witt

TL;DR

This paper generalizes Pulita exponential series and uses them to derive an analytic expression for Gauss sums and a trace formula for Witt vector rings.

Contribution

It introduces a generalized form of Pulita exponential series and applies it to obtain new trace formulas for Witt rings.

Findings

Generalized Pulita exponential series

Analytic expressions for Gauss sums

Trace formula for Witt vector rings

Abstract

Our purpose is to give a generalization of Pulita exponential series. After that, we shall use these series to give an analytic expression to a Gauss sums and to a trace formula for Witt vector rings.