Abstract
This final chapter is, naturally, concerned with the triumphant accomplishments of Poincaré: the creation of the theory of Fuchsian groups and automorphic functions. These developments brought together the theory of linear differential equations and the group-theoretic approach to the study of Riemann surfaces, so this account draws on all of the preceding material. It begins with a significant stage that is intermediate between the embryonic general theory and the developed Fuchsian theory: Lamé’s equation.
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© 2008 Birkhäuser Boston
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(2008). Automorphic Functions. In: Linear Differential Equations and Group Theory from Riemann to Poincaré. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4773-5_6
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DOI: https://doi.org/10.1007/978-0-8176-4773-5_6
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4772-8
Online ISBN: 978-0-8176-4773-5
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