Anderson-Stark units for $\mathbb F_q[\theta]$
Number Theory
2015-01-28 v1
Abstract
We investigate the arithmetic of special values of a new class of -functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use these Anderson-Stark units to prove that -functions can be expressed as sums of polylogarithms.
Cite
@article{arxiv.1501.06804,
title = {Anderson-Stark units for $\mathbb F_q[\theta]$},
author = {Bruno Anglès and Federico Pellarin and Floric Tavares Ribeiro},
journal= {arXiv preprint arXiv:1501.06804},
year = {2015}
}