Abstract:

Anderson introduced abelian t-modules, and then Goss defined L-function associated to abelian t-modules. In this talk, we discuss transcendence of special values of L-functions attached to Drinfeld modules (abelian t-modules of dimension one) defined over the rational function field . We prove our result by employing a result of Anglès, Ngo Dac and Tavares Ribeiro, and transcendence theory of Papanikolas. This is joint work with Oguz Gezmis.