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Collected Papers I Softcover reprint of the original 1st ed. 2002, v. 1, 1954-1966 [Minkštas viršelis]

4.33/5 (3 ratings by Goodreads)
  • Formatas: Paperback / softback, 815 pages, aukštis x plotis: 234x165 mm, weight: 1289 g, biography
  • Išleidimo metai: 14-Oct-2011
  • Leidėjas: Springer-Verlag New York Inc.
  • ISBN-10: 1461274044
  • ISBN-13: 9781461274049
Kitos knygos pagal šią temą:
Collected Papers I Softcover reprint of the original 1st ed. 2002, v. 1, 1954-1966Didesnis paveikslėlis
  • Formatas: Paperback / softback, 815 pages, aukštis x plotis: 234x165 mm, weight: 1289 g, biography
  • Išleidimo metai: 14-Oct-2011
  • Leidėjas: Springer-Verlag New York Inc.
  • ISBN-10: 1461274044
  • ISBN-13: 9781461274049
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9781461274049.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)

Daugiau informacijos

Springer Book Archives
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