Algebraic independence of values of Goss L-functions at s=1

Abstract

We investigate special values of Goss L-functions for Dirichlet characters at s=1 over rings of class number one and prove results on their transcendence and algebraic independence.

11 pages

References in corpus (2)

• Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad)
• tau-recurrent sequences and modular forms

Cited by in corpus (1)

• Explicit formulas for Drinfeld modules and their periods