Mathematische Zeitschrift

, Volume 241, Issue 2, pp 425–444

On Dwork's accessory parameter problem

  • Frits Beukers
Original article

DOI: 10.1007/s00209-002-0424-8

Cite this article as:
Beukers, F. Math Z (2002) 241: 425. doi:10.1007/s00209-002-0424-8


We study 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 we shall consider the case of Fuchsian equations with four singularities and local exponent differences 0.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Frits Beukers
    • 1
  1. 1.Department of Mathematics, Utrecht University, P.O.Box 80.010, 3508 TA Utrecht, The Netherlands, (e-mail: NL

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