Selasa, 26 Juli 2016

[Goro Shimura] ¾ Abelian Varieties with Complex Multiplication and Modular Functions [Modular Book] PDF ☆ Read Online eBook or Kindle ePUB

Abelian Varieties with Complex Multiplication and Modular Functions

I'm much better than a beginner, but I'm a long way from ever being an expert. Not this one.By the time I've made everything, I'll probably have added preparation notes to every single recipe.Does that make this a bad cookbook? No. Grant Wood's "American

  • Title : Abelian Varieties with Complex Multiplication and Modular Functions
  • Author :
  • Rating : 4.75 (719 Vote)
  • Publish :
  • Format : Hardcover
  • Pages : 232 Pages
  • Asin : 0691016569
  • Language : English

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I'm much better than a beginner, but I'm a long way from ever being an expert. Not this one.By the time I've made everything, I'll probably have added preparation notes to every single recipe.Does that make this a bad cookbook? No. Grant Wood's "American Gothic" is the most recognizable American painting.Of all the paintings in the world, only the Mona Lisa has been more parodied. Covers a wide range of JD tractor history in color photography. Much of the book details the whirlwind events that followed, as the festival took on a life of its own, eventually attracting around 500,000 people to the small town, resulting in threats by locals, payoffs to those who opposed it, nudity, drugs, gangsters, people bathing in the lake, shortages of food and water, but - despite it all - the most historic event in music and counterculture history, after which nothing would ever be the same again for Elliot and his family.The author has a gift in telling a story, even one as

The investigation of such algebraicity is relatively new, but has attracted the interest of increasingly many researchers. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions.This subject is closely connected with the zeta function of an abelian variety, which is also covered as a main theme in the book. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of his famous problems. In particular, this is the first book in which the topics of various algebraic relations among the periods of abelian integrals, as well as the special values of theta and Siegel modular functions, are treated extensively.. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. Reciprocity laws of various kinds play a central role in number theory. Many of the topics discussed in

Shimura is a founding master, and is a fundamental reference for any researcher or student of the antimetric theory of abelian varieties and modular functions, and in particular of its applications to class field theory."--Bulletin of the London Mathematical Society. "This book is a beautifully written, self-contained and complete treatment of a subject of which G

He was awarded the Leroy P. He is the author of Introduction to Arithmetic Theory of Automorphic Functions (Princeton). Goro Shimura is Professor of Mathematics at Princeton University.

. Steele Prize in 1996 for lifetime achievement in mathematics by the American Mathematical Society

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