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Backlund Transformations and Deformations of Linear Differential Equations with Applications to Diophantine Approximations

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Abstract

We examine here some new methods borrowed from mathematical physics that are used in analytic number theory and especially in the study of diophantine approximations. Our final product is summarized in a few new results on measures of irrationality of the constants of classical analysis.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Columbia University, New York, New York, 10027, USA

    G. Chudnovsky

Authors
  1. G. Chudnovsky
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Editor information

Editors and Affiliations

  1. University of Southern California, Los Angeles, California, USA

    Itzhak Bars

  2. Yale University, New Haven, Connecticut, USA

    Alan Chodos  & Chia-Hsiung Tze  & 

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© 1984 Springer Science+Business Media New York

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Chudnovsky, G. (1984). Backlund Transformations and Deformations of Linear Differential Equations with Applications to Diophantine Approximations. In: Bars, I., Chodos, A., Tze, CH. (eds) Symmetries in Particle Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-5313-1_15

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  • DOI: https://doi.org/10.1007/978-1-4899-5313-1_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-5315-5

  • Online ISBN: 978-1-4899-5313-1

  • eBook Packages: Springer Book Archive

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