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On Dwork's accessory parameter problem

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Abstract.

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.

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Authors and Affiliations

  1. Department of Mathematics, Utrecht University, P.O.Box 80.010, 3508 TA Utrecht, The Netherlands, (e-mail: beukers@math.uu.nl) , , , , , , NL

    Frits Beukers

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  1. Frits Beukers
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Received: 28 August 2000; final form: 20 November 2001/ Published online: 17 June 2002

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ID="*" Part of this work was supported by EPSRC grant L99920

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Beukers, F. On Dwork's accessory parameter problem. Math Z 241, 425–444 (2002). https://doi.org/10.1007/s00209-002-0424-8

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  • DOI: https://doi.org/10.1007/s00209-002-0424-8

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