On a new type ofL-function for algebraic curves over finite fields
David Goss · Pacific Journal of Mathematics · 1983
Recently there has emerged a new theory of curves over a finite field.This theory is exciting in that it establishes previously unknown analogies between cyclotomic fields and function fields over a finite field.An extremely important aspect of this work is a new type of L-series for these function fields.These L-series bear quite remarkable and exciting similarities to classical L-series of number fields.The purpose of this paper is to describe these new L-series in detail.