Riemann Hypoteses

Authors: Jones, Gareth A., Wolfart, Jürgen
Provides basic material about maps and hypermaps on Riemann surfacesPresents many elementary and less elementary examples of Galois actions on dessins and their algebraic curves
Emphasises the role of group theory in the classification of regular maps, regular dessins, and quasiplatonic surfaces
Explains the links between the theory of dessins and other areas of arithmetic and geometry

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A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849–1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers.

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