Elementary Dirichlet Series And Modular Forms

By Ams, Gorō Shimura, Goro Shimura

The Main Topics Of The Book Are The Critical Values Of Dirichlet L-functions And Hecke L-functions Of An Imaginary Quadratic Field, And Various Problems On Elliptic Modular Forms. As To The Values...

Collected Papers I: 1954 – 1966

By Gorō Shimura, Goro Shimura

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 Introd...

Collected Papers Ii: 1967-1977

By Gorō Shimura, Goro Shimura

Collected Papers

By Gorō Shimura, Goro Shimura

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 i...

Collected Papers IV: 1989-2001

By Gorō Shimura, Goro Shimura

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...

Abelian Varieties With Complex Multiplication And Modular Functions

By Gorō Shimura

reciprocity Laws Of Various Kinds Play A Central Role In Number Theory. In The Easiest Case, One Obtains A Transparent Formulation By Means Of Roots Of Unity, Which Are Special Values Of Exponentia...

Introduction To The Arithmetic Theory Of Automorphic Functions

By Gorō Shimura

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the read...

Arithmeticity In The Theory Of Automorphic Forms

By Gorō Shimura, Goro Shimura

Automorphic Forms And Families Of Abelian Varieties -- Algebraic Preliminaries -- Polarized Abelian Varieties -- Symmetric Spaces And Factors Of Automorphy -- Families Of Polarized Abelian Varietie...

Arithmetic And Analytic Theories Of Quadratic Forms And Clifford Groups

By Gorō Shimura

The two main themes of the book are (1) quadratic Diophantine equations; (2) Euler products and Eisenstein series on orthogonal groups and Clifford groups. Whereas the latest chapters of the book c...

Euler Products And Eisenstein Series

By Gorō Shimura

This Volume Has Three Chief Objectives: 1) The Determination Of Local Euler Factors On Classical Groups In An Explicit Rational Form; 2) Euler Products And Eisenstein Series On A Unitary Group Of A...