Collected papers  v. 1 ~ v. 5

Goro Shimura

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[目次]

  • List of Articles * Discontinuous groups and abelian varieties * Construction of class fields and zeta functions of algebraic curves * Number fields and zeta functions associated with discontinuous groups and algebraic varieties * Algebraic number fields and symplectic discountinuous groups * Algebraic varieties without deformation and the Chow variety * An l-adic method in the theory of automorphic forms * Local representations of Galois groups * On canonical models of arithmetic quotients of bounded symmetric domains * On canonical models of arithmetic quotients of bounded symmetric domains: II * On arithemetic automorphic functions * On the zeta-function of an abelian variety with complex multiplication * Class fields over real quadratic fields in the theory of modular functions * On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields * On the field of rationality for an abelian variety * Class fields over real quadratic fields and Hecke operators * On modular forms of half integral weight * On the factors of the jacobian variety of a modular function field * On the trace formula for Hecke operators * On the holomorphy of certain Dirichlet series * On the real points of an arithmetic quotient of a bounded symmetric domain * On some arithmetic properites of modular forms of one and several variables * On the Fourier coefficients of modular forms of several variables * Theta functions with complex multiplication * The special values of the zeta functions associated with cusp forms * On Abelian varieties with complex multiplication * Unitary groups and theta functions * On the derivatives of theta functions and modular forms * On the periods of modular forms * Notes

「Nielsen BookData」より

[目次]

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

「Nielsen BookData」より

[目次]

  • List of articles.- Models of an abelian variety with complex multiplication over small fields.- The periods of certain automorphic forms of arithmetic type.- Confluent hypergeometric functions on tube domains.- Algebraic relations between critical values of zeta functions and inner products.- On Eisenstein series.- Differential operators and the singular values of Eisenstein series.- On differential operators attached to certain representations of classical groups.- On Eisenstein series of half-integral weight.- On the Eisenstein series of Hilbert modular groups.- On a class of nearly holomorphic automorphic forms.- Nearly holomorphic functions on hermitian symmetric spaces.- On Hilbert modular forms of half-integral weight.- On the critical values of certain Dirichlet series and the period of automorphic forms.- Yutaka Taniyama and his time.- L-functions and eigenvalue problems.- Notes.

「Nielsen BookData」より

[目次]

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

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この本の情報

書名 Collected papers
著作者等 志村 五郎
Shimura Goro
巻冊次 v. 1
v. 2
v. 3
v. 4
v. 5
出版元 Springer-Verlag
刊行年月 c2002-
ページ数 v.
大きさ 25-28 cm
ISBN 0387954171
9780387954165
9780387954189
9781493918379
9783319325477
9780387954066
NCID BA59051265
※クリックでCiNii Booksを表示
言語 フランス語
英語
出版国 アメリカ合衆国
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