Collected papers
著者
書誌事項
Collected papers
（Springer Collected Works in Mathematics）
Springer, 2014
- 1 : softcover
- 2 : softcover
- 3 : softcover
- 4 : softcover
大学図書館所蔵 件 / 全1件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
この図書・雑誌をさがす
注記
1. 1954-1966 -- 2. 1967-1977 -- 3. 1978-1988 -- 4. 1989-2001
1-2: "Reprint of the 2002 edition"
3-4: "Reprint of the 2003 edition"
Includes bibliographical references
内容説明・目次
- 巻冊次
-
1 : softcover ISBN 9781493918096
内容説明
In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement :" To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field.." 103 of Shimuras most important papers are collected in four volumes. Volume I contains his mathematical papers from 1954 to 1966 and some notes to the articles.
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 automorphic 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 of definition for a field of automorphic functions: III * Moduli of abelian varieties and number theory * Notes
- 巻冊次
-
2 : softcover ISBN 9781493918324
内容説明
In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement :" To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field." 103 of Shimuras most important papers are collected in four volumes. Volume II contains his mathematical papers from 1967 to 1977 and some notes to the articles.
目次
[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 ?-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.- [7la] 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.
- 巻冊次
-
3 : softcover ISBN 9781493918331
内容説明
In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: "To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field." 103 of Shimuras most important papers are collected in four volumes. Volume III contains his mathematical papers from 1978 to 1988 and some notes to the articles.
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 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 periods of automorphic forms * Notes III
- 巻冊次
-
4 : softcover ISBN 9781493918379
内容説明
In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: "To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground for new developments, as witnessed by the many notations in number theory that carry his name and that have long been familiar to workers in the field." 103 of Shimuras most important papers are collected in four volumes. Volume IV contains his mathematical papers from 1989 to 2001 and some notes to the articles.
目次
List of articles * Yutaka Taniyama and his time * L-functions and eigenvalue problems * Invariant differential operators on hermitian symmetric spaces * On the fundamental periods of automorphic forms of arithmetic type * The critical values of certain Dirichlet series attached to Hilbert modular forms * On the transformation formulas of theta series * On the Fourier coefficients of Hilbert modular forms of half-integral weight * Fractional and trigonometric expressions for matrices * Euler products and Fourier coefficients of automorphic forms on symplectic groups * Differential operators, holomorphic projection, and singular forms * Eisenstein series and zeta functions on symplectic * Zeta functions and Eisenstein series on metaplectic groups * Convergence of zeta functions on symplectic and metaplectic groups * Response * Zeta functions and Eisenstein series on classical groups * An exact mass formula for orthogonal groups * The number of representations of an integer by a quadratic form * Generalized Bessel functions on symmetric spaces * Some exact formulas on quaternion unitary groups * Andre Weil as I knew him * Arithmeticity of Dirichlet series and automorphic forms on unitary groups * The relative regulator of an algebraic number field * Notes IV
「Nielsen BookData」 より