Hilbert Modular Forms is popular PDF and ePub book, written by Eberhard Freitag in 2013-03-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hilbert Modular Forms can be Read Online from any device for your convenience.
Hilbert Modular Forms Book PDF Summary
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.
Detail Book of Hilbert Modular Forms PDF
- Author : Eberhard Freitag
- Release : 09 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9783662026380
- Genre : Mathematics
- Total Page : 255 pages
- Language : English
- PDF File Size : 10,9 Mb
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