Polylogarithms and a Zeta Function for Finite Places of a Function Field

Details Polylogarithms and a Zeta Function for Finite Places of a Function Field Polylogarithms and a Zeta Function for Finite Places of a Function Field

2004-05-28

arxiv.org/abs/math/0405544v1

Mathematics

Number Theory

15 pages, LaTeX-2e

Scientific paper

We introduce and study new versions of polylogarithms and a zeta function on
a completion of $\mathbb F_q (x)$ at a finite place. The construction is based
on the use of the Carlitz differential equations for $\mathbb F_q$-linear
functions.

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