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Automorphic Functions

Automorphic Functions

by Lester R. Ford
Hardback
Publication Date: 30/11/2004

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When published in 1929, Ford's book was the first treatise in English on automorphic functions. By this time the field was already fifty years old, as marked from the time of Poincare's early Acta papers that essentially created the subject. The work of Koebe and Poincare on uniformization appeared in 1907. In the seventy years since its first publication, Ford's Automorphic Functions has become a classic. His approach to automorphic functions is primarily through the theory of analytic functions. He begins with a review of the theory of groups of linear transformations, especially Fuchsian groups. He covers the classical elliptic modular functions, as examples of non-elementary automorphic functions and Poincare theta series. Ford includes an extended discussion of conformal mappings from the point of view of functions, which prepares the way for his treatment of uniformization. The final chapter illustrates the connections between automorphic functions and differential equations with regular singular points, such as the hypergeometric equation.
ISBN:
9780821837412
9780821837412
Category:
Number theory
Format:
Hardback
Publication Date:
30-11-2004
Publisher:
American Mathematical Society
Country of origin:
United States
Edition:
2nd Edition
Pages:
333
Dimensions (mm):
220x150mm
Weight:
0.58kg

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