Toshitsune Miyake: Modular Forms

Cover: 9783662221884 | Modular Forms | Toshitsune Miyake | Taschenbuch | x | Englisch | 2019

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Sprache: Englisch

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Beschreibung

For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English edition. It sets out to provide the reader with the basic knowledge of elliptic modular forms necessary to understand the recent developments in number theory. The first part gives the general theory of modular groups, modular forms and Hecke operators, with emphasis on the Hecke-Weil theory of the relation between modular forms and Dirichlet series. The second part is on the unit groups of quaternion algebras, which are seldom dealt with in books. The so-called Eichler-Selberg trace formula of Hecke operators follows next and the explicit computable formula is given. In the last chapter, written for the English edition, Eisenstein series with parameter are discussed following the recent work of Shimura: Eisenstein series are likely to play a very important role in the future progress of number theory, and thischapter provides a good introduction to the topic.

Über den Autor

The author is currently Professor Emeritus at Hokkaido University. He is also the author of Modular Forms (published by Springer) in 1989.

Inhaltsverzeichnis

The Upper Half Plane and Fuchsian Groups.- Automorphic Forms.- L-Functions.- Modular Groups and Modular Forms.- Unit Groups of Quaternion Algebras.- Traces of Hecke Operators.- Eisenstein Series.

Details

Erscheinungsjahr:	2019
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Springer Monographs in Mathematics
Inhalt:	x 338 S.
ISBN-13:	9783662221884
ISBN-10:	3662221888
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Miyake, Toshitsune
Übersetzung:	Maeda, Yoshitaka
Hersteller:	Springer Springer-Verlag GmbH Springer Monographs in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	229 x 152 x 20 mm
Von/Mit:	Toshitsune Miyake
Erscheinungsdatum:	19.08.2019
Gewicht:	0,51 kg