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Globally bounded solutions of differential equations

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Analytic Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1434))

Abstract

The aim of this paper is to give an account of some results and conjectures involving “for almost all p” properties of power series. Our main concern is to exhibit links between three topics : automaticity, algebraicity (mod n) and D-finiteness. Diagonals of rational fractions seem to be at the heart of the problem. In the last part, we show they appear as (regular) solutions near singularity of Picard-Fuchs differential equations.

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Authors and Affiliations

  1. U.F.R. Mathématiques, Université Paris VI, Tour 46-56 5-ème étage 4 place Jussieu, Paris Cedex 05

    Christol Gilles

Authors
  1. Christol Gilles
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Editor information

Kenji Nagasaka Etienne Fouvry

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© 1990 Springer-Verlag

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Gilles, C. (1990). Globally bounded solutions of differential equations. In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097124

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  • DOI: https://doi.org/10.1007/BFb0097124

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52787-9

  • Online ISBN: 978-3-540-47147-9

  • eBook Packages: Springer Book Archive

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