Hilbert Modular Forms - Hardcover

Freitag, E.

Hardcover

ISBN 10: 0387505865 ISBN 13: 9780387505862

Publisher: Springer Verlag, 1990

Synopsis

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.

About this title

Synopsis

A pretty little monograph, the brevity and elegant depth of which would make it suitable as a focus for the work of (say) a graduate seminar. Though some historical and motivational material is included, the author evidently convinced that his story will tell itself has provided probably too little such support to permit his book to serve well the

Edition details

• Publisher: Springer Verlag
• Publication date: 1990
• Language: English
• ISBN 10: 0387505865
• ISBN 13: 9780387505862
• Binding: Hardcover