Automorphic Functions
Seiten
2004
American Mathematical Society (Verlag)
978-0-8218-3741-2 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-3741-2 (ISBN)
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Covers groups of linear transformations, especially Fuchsian groups, fundamental domains, and functions that are invariant under the groups, including the classical elliptic modular functions and Poincare theta series. This book also covers conformal mappings, uniformization, and connections between automorphic functions.
Lester Ford's book was the first treatise in English on automorphic functions. At the time of its publication (1929), it was welcomed for its elegant treatment of groups of linear transformations and for the remarkably clear and explicit exposition throughout the book. Ford's extraordinary talent for writing has been memorialized in the prestigious award that bears his name. The book, in the meantime, has become a recognized classic. Ford's approach is primarily through analytic function theory. The first part of the book covers groups of linear transformations, especially Fuchsian groups, fundamental domains, and functions that are invariant under the groups, including the classical elliptic modular functions and Poincare theta series. The second part of the book covers conformal mappings, uniformization, and connections between automorphic functions and differential equations with regular singular points, such as the hypergeometric equation.
Lester Ford's book was the first treatise in English on automorphic functions. At the time of its publication (1929), it was welcomed for its elegant treatment of groups of linear transformations and for the remarkably clear and explicit exposition throughout the book. Ford's extraordinary talent for writing has been memorialized in the prestigious award that bears his name. The book, in the meantime, has become a recognized classic. Ford's approach is primarily through analytic function theory. The first part of the book covers groups of linear transformations, especially Fuchsian groups, fundamental domains, and functions that are invariant under the groups, including the classical elliptic modular functions and Poincare theta series. The second part of the book covers conformal mappings, uniformization, and connections between automorphic functions and differential equations with regular singular points, such as the hypergeometric equation.
Linear transformations Groups of linear transformations Fuchsian groups Automorphic functions The Poincare theta series The elementary groups The elliptic modular functions Conformal mapping Uniformization. Elementary and Fuchsian functions Uniformization. Groups of Schottky type Differential equations A bibliography of automorphic functions Author index Subject index.
| Erscheint lt. Verlag | 1.3.2006 |
|---|---|
| Reihe/Serie | Chelsea Publications |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 581 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-8218-3741-9 / 0821837419 |
| ISBN-13 | 978-0-8218-3741-2 / 9780821837412 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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