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Collected papers Book

Collected papers
Collected papers, 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, Collected papers has a rating of 3 stars
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Collected papers, 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, Collected papers
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  • Collected papers
  • Written by author Goro Shimura
  • Published by New York : Springer, c2002-, 2002/12/09
  • 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
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Volume I: 1954-1966
Preface

The articles included in this collection
List of articles
54. A note on the normalization-theorem of an integral domain
55.Reduction of algebraic varieties with respect to a discrete valuation of
the basic field
56.On complex multiplications
57a. La fonction du corps des fonctions modulaires elliptiques
58a. Correspondances modulaires et les fonctions zeta de courbes
algebriques
58b. Modules des varietes abeliennes polarisees et fonctions
modulaires
59a. Fonctions automorphes et correspondances modulaires
59b. On the theory of automorphic functions
59c. Sur les integrales attachees aux formes automorphes
59d. On specializations of abelian varieties (with Shoji Koizumi)
60a. On vector differential forms attached to automorphic forms (with Michio
Kuga)
61b. On the zeta functions of the algebraic curves
uniformized by certain automorphic functions
62a. On Dirichlet series and abelian varieties attached to automorphic forms
62b. On the class-fields obtained by complex multiplication of abelian
varieties
63a. Arithmetic of alternating forms and quaternion hermitian forms
63b. On analytic families of polarized abelian varieties and automorphic
functions
63c. On the cohomology groups attached to certain vector valued differential
forms on the product of the upper half planes (with Yozo Matsushima)
63d. On modular correspondences for Sp and their congruence
relations
63e. On the fields of definition for fields of automorphic functions
64a. Arithmetic of unitary groups
64b. On the field of definition for a field of automorphic functions
64c.Class-fields and automorphic functions
64d. On purely transcendental fields of automorphic functions of several
variables
64e. The zeta function of an algebraic variety and automorphic functions
65a. On the field of definition for a field of automorphic functions: II
65b. On the zeta function of a fibre variety whose fibres are abelian varieties
(with Michio Kuga)
66a. A reciprocity law in non-solvable extensions
66b. Moduli and fibre systems of abelian varieties
66c. On the field of definition for a field of automorphic functions: III
66d. Moduli of abelian varieties and number theory
Notes I

Table of contents Volume II: 1967-1977
List of articles
67a. Discontinuous groups and abelian varieties
67b. Construction of class fields and zeta functions of
algebraic curves
67c. Number fields and zeta functions associated with discontinuous
groups and algebraic varieties
67d. Algebraic number fields and symplectic discontinuous groups
68a. Algebraic varieties without deformation and the Chow variety
68c. An ell -adic method in the theory of automorphic forms
69.Local representations of Galois groups
70a. On canonical models of arithmetic quotients of bounded symmetric domains
70b. On canonical models of arithmetic quotients of bounded symmetric
domains: II
71a. On arithmetic automorphic functions
71b. On the zeta-function of an abelian variety with complex multiplication
71c. Class fields over real quadratic fields in the theory of modular
functions
71e. On elliptic curves with complex multiplication as factors of the
Jacobians of modular function fields
72a. On the field of rationality for an abelian variety
72b. Class fields over real quadratic fields and Hecke operators
73a. On modular forms of half integral weight
73d. On the factors of the jacobian variety of a modular function field
74.On the trace formula for Hecke operators
75a. On the holomorphy of certain Dirichlet series
75b. On the real points of an arithmetic quotient of a bounded
symmetric domain
75c. On some arithmetic properties of modular forms of one and several
variables
75d. On the Fourier coefficients of modular forms of several variables
76a. Theta functions with complex multiplication
76b. The special values of the zeta functions associated with cusp forms
77a. On abelian varieties with complex multiplication
77b. Unitary groups and theta functions
77c. On the derivatives of theta functions and modular forms
77d. On the periods of modular forms
Notes II


Table of contents Volume III: 1978-1988
List of articles
78a. On certain reciprocity-laws for theta
functions and modular forms
78b. The arithmetic of automorphic forms with respect to a unitary group
78c. The special values of the zeta functions associated with Hilbert modular
forms
79a. Automorphic forms and the periods of abelian varieties
79b. On some problems of algebraicity
80.The arithmetic of certain zeta functions and automorphic forms on
orthogonal groups
81a. The critical values of certain zeta functions associated
with modular forms of half-integral weight
81b. On certain zeta functions attached to two Hilbert modular forms: I. The case of Hecke characters
81c. On certain zeta functions attached to two Hilbert modular forms: II.
The case of automorphic forms on a quaternion algebra
81d. Arithmetic of differential operators on symmetric domains
82a. Models of an abelian variety with complex multiplication over small
fields
82b. The periods of certain automorphic forms of arithmetic type
82c. Confluent hypergeometric functions on tube domains
83a. Algebraic relations between critical values of zeta functions
and inner products
83b. On Eisenstein series
84a. Differential operators and the singular values of Eisenstein series
84b. On differential operators attached to certain representations of
classical groups
85a. On Eisenstein series of half-integral weight
85b. On the Eisenstein series of Hilbert modular groups
86.On a class of nearly holomorphic automorphic forms
87a. Nearly holomorphic functions on hermitian symmetric spaces
87b. On Hilbert modular forms of half-integral weight
88. On the critical values of certain Dirichlet series and the periods
of automorphic forms
Notes III

Table of contents Volume IV: 1989-2001
List of articles
89a. Yutaka Taniyama and his time
89b. L -functions and eigenvalue problems
90a. Invariant differential operators on hermitian symmetric spaces
90b. On the fundamental periods of automorphic forms of arithmetic type
91.The critical values of certain Dirichlet series attached to Hilbert
modular forms
93b. On the transformation formulas of theta series
93c. On the Fourier coefficients of Hilbert modular forms of half-integral
weight
94a. Fractional and trigonometric expressions for matrices
94b. Euler products and Fourier coefficients of automorphic forms on
symplectic groups
94c. Differential operators, holomorphic projection, and singular
forms
95a. Eisenstein series and zeta functions on symplectic groups
95b. Zeta functions and Eisenstein series
on metaplectic groups
96a. Convergence of zeta functions on symplectic and
metaplectic groups
96b. Response
97b. Zeta functions and Eisenstein series on classical groups
99a. An exact mass formula for orthogonal groups
99b. The number of representations of an integer by a quadratic
form
99c. Generalized Bessel functions on symmetric spaces
99d. Some exact formulas on quaternion unitary groups
99e. Andre Weil as I knew him
01b. Arithmeticity of Dirichlet series and automorphic
forms on unitary groups
01c. The relative regulator of an algebraic number field
Notes V


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Collected papers, 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, Collected papers

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