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Table of contents (4 chapters)
Keywords
About this book
Important results on the Hilbert modular group and Hilbert modular forms are introduced and described in this book. In recent times, this branch of number theory has been given more and more attention and thus the need for a comprehensive presentation of these results, previously scattered in research journal papers, has become obvious. The main aim of this book is to give a description of the singular cohomology and its Hodge decomposition including explicit formulae. The author has succeeded in giving proofs which are both elementary and complete. The book contains an introduction to Hilbert modular forms, reduction theory, the trace formula and Shimizu's formulae, the work of Matsushima and Shimura, analytic continuation of Eisenstein series, the cohomology and its Hodge decomposition. Basic facts about algebraic numbers, integration, alternating differential forms and Hodge theory are included in convenient appendices so that the book can be used by students with a knowledge of complex analysis (one variable) and algebra.
Authors and Affiliations
Bibliographic Information
Book Title: Hilbert Modular Forms
Authors: Eberhard Freitag
DOI: https://doi.org/10.1007/978-3-662-02638-0
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1990
Hardcover ISBN: 978-3-540-50586-0Published: 10 May 1990
Softcover ISBN: 978-3-642-08072-2Published: 09 December 2010
eBook ISBN: 978-3-662-02638-0Published: 09 March 2013
Edition Number: 1
Number of Pages: VIII, 252