Automorphic Functions

"Automorphic Functions" provides a comprehensive exploration of the theory and applications of functions that remain invariant under a group of linear transformations. Written by the distinguished mathematician Lester R. Ford, this work delves into the intricate relationship between complex analysis, group theory, and geometry. The text covers fundamental topics such as linear transformations, groups of linear substitutions, and the properties of Fuchsian and Kleinian groups.

Through rigorous mathematical proofs and detailed explanations, the volume examines the construction and convergence of series, the theory of conformal mapping, and the analytical properties of automorphic forms. Ford provides a systematic treatment of the subject, building from basic principles to more advanced theorems that serve as a cornerstone for research in number theory and algebraic geometry.

This classic mathematical treatise is an essential resource for scholars and students interested in the foundations of complex variables and the development of modern analysis. Its clear exposition and structured approach make it an invaluable reference for understanding the profound connections between various branches of mathematics.

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