# MathSciDoc: An Archive for Mathematician ∫

#### Number Theorymathscidoc:1703.24019

We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeld modules de ned over the polynomial ring Fq[\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.
Drinfeld modules; log-algebraicity; Taelman's formula; Goss L-functions
@inproceedings{chieh-yulog-algebraic,