WorldCat Identities

Shimura, Gorō 1930-

Overview
Works: 27 works in 165 publications in 3 languages and 4,138 library holdings
Genres: Biography  History  Conference papers and proceedings 
Roles: Author
Classifications: QA3, 517.85
Publication Timeline
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Most widely held works about Gorō Shimura
 
Most widely held works by Gorō Shimura
Introduction to the arithmetic theory of automorphic functions by Gorō Shimura( Book )

29 editions published between 1971 and 1994 in 3 languages and held by 501 WorldCat member libraries worldwide

Automorphic functions and number theory by Gorō Shimura( Book )

21 editions published between 1967 and 2007 in English and German and held by 466 WorldCat member libraries worldwide

Abelian varieties with complex multiplication and modular functions by Gorō Shimura( Book )

11 editions published between 1997 and 1998 in English and held by 359 WorldCat member libraries worldwide

Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. 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 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. The third topic explored by Shimura is the various algebraic relations among the periods of abelian integrals. The investigation of such algebraicity is relatively new, but has attracted the interest of increasingly many researchers. Many of the topics discussed in this book have not been covered before. 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
Arithmetic and analytic theories of quadratic forms and Clifford groups by Gorō Shimura( Book )

10 editions published in 2004 in English and held by 309 WorldCat member libraries worldwide

Euler products and Eisenstein series by Gorō Shimura( Book )

10 editions published in 1997 in English and held by 309 WorldCat member libraries worldwide

This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein series on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups
The story of Imari : the symbols and mysteries of antique Japanese porcelain by Gorō Shimura( Book )

3 editions published in 2008 in English and held by 148 WorldCat member libraries worldwide

"A photographed history of the culture and folklore of Imari, a style of antique ceramics from Japan"--Provided by publisher
Collected papers by Gorō Shimura( Book )

7 editions published in 2002 in English and held by 133 WorldCat member libraries worldwide

Arithmetic of quadratic forms by Gorō Shimura( Book )

13 editions published in 2010 in English and Undetermined and held by 128 WorldCat member libraries worldwide

To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with clwass field theory will be able to learn the arithmetic theory of quadratic forms with no further references --Book Jacket
Geometry and number theory : a volume in honor of André Weil( Book )

4 editions published in 1983 in English and held by 111 WorldCat member libraries worldwide

Modular forms : basics and beyond by Gorō Shimura( Book )

16 editions published between 2011 and 2014 in English and held by 77 WorldCat member libraries worldwide

This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows thebasics. This book offers something new, which may satisfy the desire of such a reader. However, we state every definition and every essential fact concerning classical modular forms of one variable. One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types. Thus the book is presented so that the reader can learn such theories systematically. Ultimately, we concentrate on the following two themes: (I) The correspondence between the forms of half-integral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight. Goro Shimura is currently a professor emeritus of mathematics at Princeton University
The map of my life by Gorō Shimura( Book )

8 editions published in 2008 in English and held by 36 WorldCat member libraries worldwide

In this book, the author writes freely and often humorously about his life, beginning with his earliest childhood days. He describes his survival of American bombing raids when he was a teenager in Japan, his emergence as a researcher in a post-war university system that was seriously deficient, and his life as a mature mathematician in Princeton and in the international academic community. Every page of this memoir contains personal observations and striking stories. Such luminaries as Chevalley, Oppenheimer, Siegel, and Weil figure prominently in its anecdotes. Goro Shimura is Professor Emeritus of Mathematics at Princeton University. In 1996, he received the Leroy P. Steele Prize for Lifetime Achievement from the American Mathematical Society. He is the author of Elementary Dirichlet Series and Modular Forms (Springer 2007), Arithmeticity in the Theory of Automorphic Forms (AMS 2000), and Introduction to the Arithmetic Theory of Automorphic Functions (Princeton University Press 1971)
On the Fourier coefficients of modular forms of several variables by Gorō Shimura( Book )

3 editions published in 1975 in English and German and held by 28 WorldCat member libraries worldwide

Collected papers by Gorō Shimura( Book )

5 editions published between 2003 and 2011 in English and held by 21 WorldCat member libraries worldwide

Collected papers : 1954-1966 by Gorō Shimura( Book )

1 edition published in 2002 in English and held by 14 WorldCat member libraries worldwide

Collected papers : 1967-1977 by Gorō Shimura( Book )

1 edition published in 2002 in English and held by 13 WorldCat member libraries worldwide

Collected papers by Gorō Shimura( Book )

3 editions published in 2002 in English and held by 8 WorldCat member libraries worldwide

Collected papers by Gorō Shimura( Book )

3 editions published in 2002 in English and held by 8 WorldCat member libraries worldwide

Collected papers by Gorō Shimura( Book )

4 editions published in 2003 in English and held by 6 WorldCat member libraries worldwide

In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement for his "important and extensive work on arithmetical geometry and automorphic forms." His seminal work has resulted in the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 5 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present
Collected papers by Gorō Shimura( Book )

2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide

Collected papers by Gorō Shimura( Book )

2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide

 
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Audience level: 0.64 (from 0.47 for The story ... to 0.93 for Collected ...)

Abelian varieties with complex multiplication and modular functions
Alternative Names
Goro Shimura.

Shimura, G. 1930-

Shimura, Goro

Shimura, Goro 1930-

Šimura, Goro.

シムラ, ゴロウ

志村五郎 1930-

Languages
English (151)

German (3)

Russian (2)

Covers
Automorphic functions and number theoryAbelian varieties with complex multiplication and modular functionsArithmetic and analytic theories of quadratic forms and Clifford groupsEuler products and Eisenstein seriesThe story of Imari : the symbols and mysteries of antique Japanese porcelainCollected papersArithmetic of quadratic formsThe map of my life