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by Yoshitaka Maeda,Toshitsune Miyake

  • ISBN: 3540502688
  • Category: Math & Science
  • Author: Yoshitaka Maeda,Toshitsune Miyake
  • Subcategory: Mathematics
  • Other formats: rtf lrf txt lit
  • Language: English
  • Publisher: Springer; 1 edition (October 4, 1989)
  • Pages: 335 pages
  • FB2 size: 1577 kb
  • EPUB size: 1812 kb
  • Rating: 4.9
  • Votes: 957
Download Modular Forms fb2

Toshitsune Miyake, Yoshitaka Maeda. springer Monographs in Mathematics. Toshitsune Miyake Modular Forms With 11 Figures Sprin ger.

Toshitsune Miyake, Yoshitaka Maeda. 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 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

Authors: Miyake, Toshitsune.

Authors: Miyake, Toshitsune. It offers the basic knowledge of elliptic modular forms necessary to understand recent developments in number theory. It also treats the unit groups of quaternion algebras, rarely dealt with in books; Product Identifiers.

Toshitsune was a brother of Maeda Toshinaga and a son of Maeda Toshiie. He was the wealthiest daimyō within the Tokugawa shogunate, and his domain encompassed Etchū, Kaga, and Noto provinces. His childhood name was Saruchiyo (猿千代) later "Inuchiyo" (犬千代).

By (author) Toshitsune Miyake.

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Miyake, Toshitsune; Maeda, Yoshitaka. On the Fourier coefficients of Hilbert modular forms of half-integral weight over arbitrary algebraic number fields Kojima, Hisashi, Tsukuba Journal of Mathematics, 2013. On a property of Fourier coefficients of cusp forms of half-integral weight. Siegel modular forms of half integral weight and a lifting conjecture Hayashida, Shuichi and Ibukiyama, Tomoyoshi, Journal of Mathematics of Kyoto University, 2005. Eichler integrals for Maass cusp forms of half-integral weight Mühlenbruch, T. and Raji, . Illinois Journal of Mathematics, 2013.

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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 whorevised 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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