×

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

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.

MSC:

34M35 Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms
PDF BibTeX XML Cite
Full Text: DOI