Collected Papers III

1978–1988

Goro Shimura (Autor)

Buch | Softcover

924 Seiten

2014 | 2003. Reprint 2014 of the 2003 edition
Springer-Verlag New York Inc.
978-1-4939-1833-1 (ISBN)

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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.

[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.

Reihe/Serie	Springer Collected Works in Mathematics
Zusatzinfo	XIV, 924 p.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebra • automorphic forms • Eisenstein series • half-integral weight • Hilbert modular forms • Zeta functions
ISBN-10	1-4939-1833-8 / 1493918338
ISBN-13	978-1-4939-1833-1 / 9781493918331
Zustand	Neuware