Shimura, Gorō 1930
Overview
Works:  39 works in 289 publications in 4 languages and 5,817 library holdings 

Genres:  Biography History Criticism, interpretation, etc Conference papers and proceedings 
Roles:  Author, Contributor 
Classifications:  QA3, 515.9 
Publication Timeline
.
Most widely held works by
Gorō Shimura
Introduction to the arithmetic theory of automorphic functions by
Gorō Shimura(
Book
)
35 editions published between 1971 and 1994 in English and Russian and held by 529 WorldCat member libraries worldwide
35 editions published between 1971 and 1994 in English and Russian and held by 529 WorldCat member libraries worldwide
Automorphic functions and number theory by
Gorō Shimura(
Book
)
24 editions published between 1967 and 2007 in 3 languages and held by 485 WorldCat member libraries worldwide
24 editions published between 1967 and 2007 in 3 languages and held by 485 WorldCat member libraries worldwide
Abelian varieties with complex multiplication and modular functions by
Gorō Shimura(
Book
)
14 editions published between 1997 and 2016 in English and held by 381 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
14 editions published between 1997 and 2016 in English and held by 381 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
Arithmeticity in the theory of automorphic forms by
Gorō Shimura(
Book
)
14 editions published between 2000 and 2014 in English and held by 320 WorldCat member libraries worldwide
14 editions published between 2000 and 2014 in English and held by 320 WorldCat member libraries worldwide
Arithmetic and analytic theories of quadratic forms and Clifford groups by
Gorō Shimura(
Book
)
13 editions published between 2004 and 2014 in English and held by 320 WorldCat member libraries worldwide
13 editions published between 2004 and 2014 in English and held by 320 WorldCat member libraries worldwide
Euler products and Eisenstein series by
Gorō Shimura(
Book
)
12 editions published in 1997 in English and held by 318 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
12 editions published in 1997 in English and held by 318 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
Elementary Dirichlet series and modular forms by
Gorō Shimura(
Book
)
21 editions published between 2007 and 2011 in English and held by 262 WorldCat member libraries worldwide
"The main topics of this book are the critical values of Dirichlet Lfunctions and Hecke Lfunctions of an imaginary quadratic field, and various problems on elliptic modular forms."Jacket
21 editions published between 2007 and 2011 in English and held by 262 WorldCat member libraries worldwide
"The main topics of this book are the critical values of Dirichlet Lfunctions and Hecke Lfunctions of an imaginary quadratic field, and various problems on elliptic modular forms."Jacket
Complex multiplication of Abelian varieties and its applications to number theory by
Gorō Shimura(
Book
)
14 editions published between 1961 and 1975 in English and held by 250 WorldCat member libraries worldwide
14 editions published between 1961 and 1975 in English and held by 250 WorldCat member libraries worldwide
Arithmetic of quadratic forms by
Gorō Shimura(
Book
)
20 editions published between 2010 and 2016 in English and held by 144 WorldCat member libraries worldwide
This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case
20 editions published between 2010 and 2016 in English and held by 144 WorldCat member libraries worldwide
This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case
Collected papers by
Gorō Shimura(
Book
)
in English and held by 134 WorldCat member libraries worldwide
in English and held by 134 WorldCat member libraries worldwide
Geometry and number theory : a volume in honor of André Weil(
Book
)
6 editions published in 1983 in English and held by 116 WorldCat member libraries worldwide
6 editions published in 1983 in English and held by 116 WorldCat member libraries worldwide
Modular forms : basics and beyond by
Gorō Shimura(
Book
)
18 editions published between 2011 and 2014 in English and held by 90 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 the℗¡basics. 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 halfintegral 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 halfintegral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or halfintegral weight. Goro Shimura is currently a professor emeritus of mathematics at Princeton University
18 editions published between 2011 and 2014 in English and held by 90 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 the℗¡basics. 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 halfintegral 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 halfintegral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or halfintegral weight. Goro Shimura is currently a professor emeritus of mathematics at Princeton University
Collected papers by
Gorō Shimura(
Book
)
12 editions published between 2002 and 2015 in English and held by 40 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
12 editions published between 2002 and 2015 in English and held by 40 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
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 39 WorldCat member libraries worldwide
3 editions published in 1975 in English and German and held by 39 WorldCat member libraries worldwide
The map of my life by
Gorō Shimura(
Book
)
11 editions published in 2008 in English and Undetermined and held by 38 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 postwar 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)
11 editions published in 2008 in English and Undetermined and held by 38 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 postwar 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)
Collected papers by
Gorō Shimura(
Book
)
10 editions published between 2002 and 2015 in English and held by 37 WorldCat member libraries worldwide
10 editions published between 2002 and 2015 in English and held by 37 WorldCat member libraries worldwide
Collected papers by
Gorō Shimura(
Book
)
13 editions published between 2002 and 2014 in English and held by 37 WorldCat member libraries worldwide
13 editions published between 2002 and 2014 in English and held by 37 WorldCat member libraries worldwide
Collected papers by
Gorō Shimura(
Book
)
10 editions published in 2002 in English and held by 36 WorldCat member libraries worldwide
10 editions published in 2002 in English and held by 36 WorldCat member libraries worldwide
Chūgoku setsuwa bungaku to sono haikei by
Gorō Shimura(
Book
)
2 editions published in 2006 in Japanese and held by 7 WorldCat member libraries worldwide
2 editions published in 2006 in Japanese and held by 7 WorldCat member libraries worldwide
Princeton Mathematical Series : Abelian Varieties with Complex Multiplication and Modular Functions by
Gorō Shimura(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Taniyama, Yutaka
 Silverberg, Alice Editor
 Yoshida, Hiroyuki 1947 Editor
 Serre, JeanPierre 1926
 Weil, André 19061998
 SpringerLink (Service en ligne)
 Conference board of the mathematical sciences Other Editor
 Conference on Euler Products and Eisenstein Series. <1996, Fort Worth, Tex.>.
 Yoshida, Hiroyuki Editor
 American Mathematical Society
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Associated Subjects
Abelian varieties Algebra Algebraic number theory Automorphic forms Automorphic functions Chinese fiction Dirichlet series Eisenstein series Euler products Folk literature, Chinese Forms, Modular Forms, Quadratic Fourier series Functions, Theta Geometry Geometry, Algebraic Japan Lfunctions Linear algebraic groups Mathematicians Mathematics Modular functions Number theory Numerical analysis
Alternative Names
Goro Shimura.
Gorō Shimura Japanese mathematician
Goro Shimura Japans wiskundige
Goro Shimura matematico giapponese
Gorō Shimura matemático japonés
Gorō Shimura matematyk japoński
Gorō Shimura mathématicien japonais
Gorō Shimura USamerikanischer Mathematiker japanischer Herkunft
Goro Ŝimura Japana matematikisto
Shimura, G. 1930
Shimura, Goro
Shimura, Gorō 1930
Šimura, Goro.
Šimura, Goro 1930
Симура, Горо
גורו שימורה מתמטיקאי יפני
שימורה, גורו.
غورو شيمورا رياضياتي ياباني
قورو شیمورا
گورو شیمورا
গোরো শিমুরা জাপানি গণিতবিদ
시무라 고로
シムラ, ゴロウ
志村, 五郎
志村五郎 1930
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