Log-algebraic identities on Drinfeld modules and special L-values

摘要

We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeldmodules defined over the polynomial ring F_q[theta]. This generalizes resultsof Anderson for the rank one case. As an application we show that certainspecial values of Goss L-functions are linear forms in Drinfeld logarithms andare transcendental.