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 [Fur20]. This result can be seen as an analogue of the analytic continuation of the elliptic integrals of the first kind for Drinfeld modules.

arXiv comment18 pages

References in corpus (6)

• Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
• Determination of the algebraic relations among special Gamma-values in positive characteristic
• A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives
• Explicit formulas for Drinfeld modules and their periods
• Effective rigid analytic trivializations for Drinfeld modules
• Analytic continuation of multiple polylogarithms in positive characteristic

Cited by in corpus (1)

• Analytic continuation of Kochubei multiple polylogarithms and its applications