Science/Engineering Modular Forms (3540295925)

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Modular Forms

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.

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	Science/Engineering A First Course in Modular Forms (Graduate Texts in Mathematics) Fred Diamond / Jerry Shurman, ?A First Course in Modular Forms (Graduate Texts in Mathematics)?Springer \| ISBN: 038723229X \| 1 edition (April 30, 2007) \| 436 pages \| PDF \| 3.5 Mb This book introduces the theory of modular forms with an eye ...
	Science/Engineering Elementary Dirichlet Series and Modular Forms Publisher: SpringerLanguage: EnglishISBN: 0387724737Paperback: 152 pagesData: Sep 2007Format: PDFDescription: The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field ...
	Science/Engineering Modular Forms, a Computational Approach William Stein, "Modular Forms, a Computational Approach" American Mathematical Society \| 2007-02-13 \| ISBN: 0821839608 \| 268 pages \| Djvu \| 2,5 MB This marvellous and highly original book fills a significant gap in the extensive literat ...
	Science/Engineering Hilbert Modular Forms and Iwasawa Theory Haruzo Hida, "Hilbert Modular Forms and Iwasawa Theory" Oxford University Press, USA \| 2006 \| ISBN: 019857102X \| 416 pages \| PDF \| 2,8 MB The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory ...
	Science/Engineering Modular Forms and Galois Cohomology Haruzo Hida, "Modular Forms and Galois Cohomology" Cambridge University Press \| 2000 \| ISBN: 052177036X \| 343 pages \| Djvu \| 5,1 MB This book provides a comprehensive account of a key, perhaps the most important, theory that forms the b ...
	Science/Engineering Modular Forms on Schiermonnikoog Bas Edixhoven, Gerard van der Geer, Ben Moonen, "Modular Forms on Schiermonnikoog" Cambridge University Press \| ISBN: 0521493544 \| 2008 \| 360 pages \| PDF \| 1,63 MB Product DescriptionThis collection of up-to-date articles originated from ...

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	Science/Engineering A First Course in Modular Forms (Graduate Texts in Mathematics) Fred Diamond / Jerry Shurman, ?A First Course in Modular Forms (Graduate Texts in Mathematics)?Springer \| ISBN: 038723229X \| 1 edition (April 30, 2007) \| 436 pages \| PDF \| 3.5 Mb This book introduces the theory of modular forms with an eye ...
	Science/Engineering Elementary Dirichlet Series and Modular Forms Publisher: SpringerLanguage: EnglishISBN: 0387724737Paperback: 152 pagesData: Sep 2007Format: PDFDescription: The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field ...
	Science/Engineering Modular Forms, a Computational Approach William Stein, "Modular Forms, a Computational Approach" American Mathematical Society \| 2007-02-13 \| ISBN: 0821839608 \| 268 pages \| Djvu \| 2,5 MB This marvellous and highly original book fills a significant gap in the extensive literat ...
	Science/Engineering Hilbert Modular Forms and Iwasawa Theory Haruzo Hida, "Hilbert Modular Forms and Iwasawa Theory" Oxford University Press, USA \| 2006 \| ISBN: 019857102X \| 416 pages \| PDF \| 2,8 MB The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory ...
	Science/Engineering Modular Forms and Galois Cohomology Haruzo Hida, "Modular Forms and Galois Cohomology" Cambridge University Press \| 2000 \| ISBN: 052177036X \| 343 pages \| Djvu \| 5,1 MB This book provides a comprehensive account of a key, perhaps the most important, theory that forms the b ...
	Science/Engineering Modular Forms on Schiermonnikoog Bas Edixhoven, Gerard van der Geer, Ben Moonen, "Modular Forms on Schiermonnikoog" Cambridge University Press \| ISBN: 0521493544 \| 2008 \| 360 pages \| PDF \| 1,63 MB Product DescriptionThis collection of up-to-date articles originated from ...

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