The Collected Works of Goro Shimura

by Shimura, Goro

ISBN13:
9780387954189
ISBN10:
038795418X
Format: Hardcover
Copyright: 2003-01-01
Publisher: Springer Verlag
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Summary

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 the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 5 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present.

List of Articles

vii

Yutaka Taniyama and his time

(11)

L-functions and eigenvalue problems

(56)

Invariant differential operators on hermitian symmetric spaces

(36)

On the fundamental periods of automorphic forms of arithmetic type

104

(30)

The critical values of certain Dirichlet series attached to Hilbert modular forms

134

(57)

On the tranformation formulas of theta series

191

(42)

On the Fourier coefficients of Hilbert modular forms of half-integral weight

233

(57)

Fractional and trigonometric expressions for matrices

290

(15)

Euler products and Fourier coefficients of automorphic forms on symplectic groups

305

(46)

Differential operators, holomorphic projection, and singular forms

351

(33)

Eisenstein series and zeta functions on symplectic groups

384

(46)

Zeta functions and Eisenstein series on metaplectic groups

430

(40)

Convergence of zeta functions on symplectic and metaplectic groups

470

(21)

Response

491

(7)

Zeta functions and Eisenstein series on classical groups

498

(11)

An exact mass formula for orthogonal groups

509

(66)

The number of representations of an integer by a quadratic form

575

(34)

Generalized Bessel functions on symmetric spaces

609

(28)

Some exact formulas on quaternion unitary groups

637

(33)

Andre Weil as I knew him

670

(10)

Arithmeticity of Dirichlet series and automorphic forms on unitary groups

680

(40)

The relative regulator of an algebraic number field

720

(17)

Notes IV

737

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