On Furusho’s analytic continuation of Drinfeld logarithms

Abstract

In the present paper, we establish an analytic continuation of Drinfeld logarithms by using the techniques introduced in Furusho (Tunis J Math 4(3):559–586, 2022) . This result can be seen as an analogue of the analytic continuation of the elliptic integrals of the first kind for Drinfeld modules.