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Hilbert Modular Forms

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 resear...

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Bibliographic Details
Main Author: Freitag, Eberhard
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1990, 1990
Edition:1st ed. 1990
Subjects:
Group Theory And Generalizations
Number Theory
Group Theory
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Hilbert Modular Forms  |h Elektronische Ressource  |c by Eberhard Freitag 
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505 0 |a I. Hilbert Modular Forms -- II. Dimension Formulae -- III. The Cohomology of the Hilbert Modular Group -- Appendices -- I. Algebraic Numbers -- II. Integration -- III. Alternating Differential Forms 
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653 |a Number theory 
653 |a Group theory 
653 |a Number Theory 
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520 |a 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 

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