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.

Autorentext

Goro Shimura is currently a professor emeritus of mathematics at Princeton University.

Inhalt
[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.