Collected Papers III
1978-1988
Published on 20. October 2014
Book
Paperback/Softback
XIV, 924 pages
978-1-4939-1833-1 (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 III contains his mathematical papers from 1978 to 1988 and some notes to the articles.
More details
Series
Edition
2003. Reprint 2014 of the 2003 edition
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XIV, 924 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 50 mm
Weight
1393 gr
ISBN-13
978-1-4939-1833-1 (9781493918331)
DOI
10.1007/978-1-4612-2060-2
Schweitzer Classification
Person
Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
Content
[78a] On certain reciprocity-laws for theta functions and modular forms.- [78b] The arithmetic of automorphic forms with respect to a unitary group.- [78c] The special values of the zeta functions associated with Hilbert modular forms.- [79a] Automorphic forms and the periods of abelian varieties.- [79b] On some problems of algebraicity.- [80] The arithmetic of certain zeta functions and automorphic forms on orthogonal groups.- [81a] The critical values of certain zeta functions associated with modular forms of half-integral weight.- [81b] On certain zeta functions attached to two Hilbert modular forms: I. The case of Hecke characters.- [81c] On certain zeta functions attached to two Hilbert modular forms: II. The case of automorphic forms on a quaternion algebra.- [81d] Arithmetic of differential operators on symmetric domains.- [82a] Models of an abelian variety with complex multiplication over small fields.- [82b] The periods of certain automorphic forms of arithmetic type.- [82c] Confluent hypergeometric functions on tube domains.- [83a] Algebraic relations between critical values of zeta functions and inner products.- [83b] On Eisenstein series.- [84a] Differential operators and the singular values of Eisenstein series.- [84b] On differential operators attached to certain representations of classical groups.- [85a] On Eisenstein series of half-integral weight.- [85b] On the Eisenstein series of Hilbert modular groups.- [86] On a class of nearly holomorphic automorphic forms.- [87a] Nearly holomorphic functions on hermitian symmetric spaces.- [87b] On Hilbert modular forms of half-integral weight.- [88] On the critical values of certain Dirichlet series and the periods of automorphic forms.- Notes II.