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Collected Papers 2002 ed., v. 1, 1954-1966 [Kietas viršelis]

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  • Formatas: Hardback, 795 pages, aukštis x plotis: 234x165 mm, weight: 1561 g, biography
  • Išleidimo metai: 10-Sep-2002
  • Leidėjas: Springer-Verlag New York Inc.
  • ISBN-10: 0387954066
  • ISBN-13: 9780387954066
Kitos knygos pagal šią temą:
Collected Papers 2002 ed., v. 1, 1954-1966Didesnis paveikslėlis
  • Formatas: Hardback, 795 pages, aukštis x plotis: 234x165 mm, weight: 1561 g, biography
  • Išleidimo metai: 10-Sep-2002
  • Leidėjas: Springer-Verlag New York Inc.
  • ISBN-10: 0387954066
  • ISBN-13: 9780387954066
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780387954066.html
Raktažodžiai:
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 Shimura's most important papers are collected in four volumes. Volume I contains his mathematical papers from 1954 to 1966 and some notes to the articles.

Recenzijos

From the reviews: "This book is the first in a row of four announced volumes. It covers the period 1954-1966 during which Goro Shimura produced more than thirty publications. ... Important contributions concerning the zeta function of an algebraic variety and automorphic functions are featured. ... the mimeographed 1964 lecture notes by Shimura appear in a final form. They are completed by fascinating historical notes and comments made by the author ... ." (Jean-Paul Pier, Zentralblatt MATH, Vol. 1008, 2003)

Preface vii
The Articles Included in This Collection ix
List of Articles
xi
Acknowledgment xix
A note on the normalization-theorem of an integral domain
1(8)
Reduction of algebraic varieties with respect to a discrete valuation of the basic field
9(43)
On complex multiplications
52(8)
La fonction ζ du corps des fonctions modulaires elliptiques
60(3)
Correspondances modulaires et les fonctions zeta de courbes algebriques
63(28)
Modules des varietes abeliennes polarisees et fonctions modulaires
91(24)
Functions automorphes et correspondances modulaires
115(9)
On the theory of automorphic functions
124(44)
Sur les integrales attachces aux formes automorphes
168(21)
On specializations of abelian varieties
189(25)
Shoji Koizumi
On vector differential forms attached to automorphic forms
214(13)
Michio Kuga
On the zeta functions of the algebraic curves uniformized by certain automorphic functions
227(57)
On Dirichlet series and abelian varieties attached to automorphic forms
284(58)
On the class-fields obtained by complex multiplication of abelian varieties
342(12)
Arithmetic of alternating Terms and quaternion hermitian forms
354(33)
On analytic families of polarized abelian varieties and automorphic functions
387(44)
On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes
431(33)
Yozo Matsushima
On modular correspondences for Sp(n, Z) and their congruence relations
464(5)
On the fields of definition for fields of automorphic functions
469(4)
Arithmetic of unitary groups
473(41)
On the field of definition for a field of automorphic functions
514(30)
Class-fields and automorphic functions
544(20)
On purely transcendental fields of automorphic functions of several variables
564(14)
The zeta function of an algebraic variety and automorphic functions
578(13)
On the field of definition for a field of automorphic functions: II
591(42)
On the zeta function of a fibre variety whose fibres are abelian varieties
633(62)
Michio Kuga
A reciprocity law in non-solvable extensions
695(12)
Moduli and fibre systems of abelian varieties
707(45)
On the field of definition for a field of automorphic functions: III
752(9)
Moduli of abelian varieties and number theory
761(22)
Notes I 783