On Dwork’s accessory parameter problem. (English) Zbl 1023.34081

Beukers, Frits

Math. Z. 241, No. 2, 425-444 (2002).

The author discusses the question which ordinary second-order linear differential equation allows power series solutions whose p-adic radius of convergence is at least one, a question raised by B. Dwork. In particular, the author studies the case of Fuchsian equations with four singularities and local exponent differences 0.

Reviewer: Yuefei Wang (Beijing)

MSC:

34M35

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms

Keywords:

second-order linear differential equation; power series solution; p-adic radius of convergence