Collected Papers III 19781988 [Paperback]

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 III contains his mathematical papers from 1978 to 1988 and some notes to the articles.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.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 relló?