Collected Papers IV

1989-2001
2003. Nachdruck 2014 of the 2003 Auflage 2014
ISBN: 978-1-4939-1837-9
Verlag: Springer Nature Singapore

Buch, Englisch, 754 Seiten, Format (B × H): 154 mm x 233 mm, Gewicht: 1092 g

Reihe: Springer Collected Works in Mathematics

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 IV contains his mathematical papers from 1989 to 2001 and some notes to the articles.

Zielgruppe

Research

Autoren/Hrsg.

Shimura, Goro

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

List of articles.- 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 relations between critical values of zeta functions and inner products.- On Eisenstein series.- Differential operators and the singular values of Eisenstein series.- On differential operators attached to certain representations of classical groups.- On Eisenstein series of half-integral weight.- On the Eisenstein series of Hilbert modular groups.- On a class of nearly holomorphic automorphic forms.- Nearly holomorphic functions on hermitian symmetric spaces.- On Hilbert modular forms of half-integral weight.- On the critical values of certain Dirichlet series and the period of automorphic forms.- Yutaka Taniyama and his time.- L-functions and eigenvalue problems.- Notes.