Eberhard Freitag

(Author)

Hilbert Modular Forms (1990)Hardcover - 1990, 10 May 1990

Hilbert Modular Forms (1990)
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Print Length
252 pages
Language
English
Publisher
Springer
Date Published
10 May 1990
ISBN-10
3540505865
ISBN-13
9783540505860

Description

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.

Product Details

Author:
Eberhard Freitag
Book Edition:
1990
Book Format:
Hardcover
Country of Origin:
US
Date Published:
10 May 1990
Dimensions:
23.39 x 15.6 x 1.6 cm
ISBN-10:
3540505865
ISBN-13:
9783540505860
Language:
English
Location:
Berlin, Heidelberg
Pages:
252
Publisher:
Weight:
553.38 gm

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