Log-algebraic identities on Drinfeld modules and special L-values
Number Theory
2020-07-09 v2
Abstract
We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeld modules defined over the polynomial ring F_q[theta]. This generalizes results of Anderson for the rank one case. As an application we show that certain special values of Goss L-functions are linear forms in Drinfeld logarithms and are transcendental.
Cite
@article{arxiv.1703.03368,
title = {Log-algebraic identities on Drinfeld modules and special L-values},
author = {Chieh-Yu Chang and Ahmad El-Guindy and Matthew A. Papanikolas},
journal= {arXiv preprint arXiv:1703.03368},
year = {2020}
}
Comments
21 pages