Collected Papers II
1967-1977
Published on 17. September 2011
Book
Paperback/Softback
XIV, 831 pages
978-1-4612-7405-6 (ISBN)
Description
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 II contains his mathematical papers from 1967 to 1977 and some notes to the articles.
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12/2002
Springer
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Content
[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.