Collected Papers V: 2002-2012

ISBN-13: 9783319325477 / Angielski / Twarda / 2016 / 278 str.

Goro Shimura

Opis

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."
120 of Shimura's most important papers are collected in five volumes. Volume V contains his mathematical papers from 2002 onwards and some notes to the articles.

Spis treści

List of publications.- [02] The representation of integers as sums of squares.- [04] Inhomogeneous quadratic forms and triangular numbers.- [06a] Quadratic Diophantine equations and orders in quaternion algebras.- [06b] Quadratic Diophantine equations, the class number, and the mass formula.- [06c] Integer-valued quadratic forms and quadratic Diophantine equations.- [06d] Classification, construction, and similitudes of quadratic forms.- [08a] Classification of integer-valued symmetric forms.- [08b] The critical values of certain Dirichlet series.- [08c] Arithmetic of Hermitian forms.- [10] The critical values of generalizations of the Hurwitz zeta function.- [06e] Some remarks and open problems on the Woods Hole fixed point formula.