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Modular Forms (Hardcover, 1st ed. 1989. Corr. 2nd printing 2005) Loot Price: R3,970
Discovery Miles 39 700
Modular Forms (Hardcover, 1st ed. 1989. Corr. 2nd printing 2005): Toshitsune Miyake

Modular Forms (Hardcover, 1st ed. 1989. Corr. 2nd printing 2005)

Toshitsune Miyake; Translated by Yoshitaka Maeda

Series: Springer Monographs in Mathematics

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Loot Price R3,970 Discovery Miles 39 700 | Repayment Terms: R372 pm x 12*

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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 this chapter provides a good introduction to the topic.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Monographs in Mathematics
Release date: December 2005
First published: 1989
Authors: Toshitsune Miyake
Translators: Yoshitaka Maeda
Dimensions: 235 x 155 x 27mm (L x W x T)
Format: Hardcover
Pages: 338
Edition: 1st ed. 1989. Corr. 2nd printing 2005
ISBN-13: 978-3-540-29592-1
Categories: Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 3-540-29592-5
Barcode: 9783540295921

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