Collected Papers IV: 1989-2001

ISBN-13: 9781493918379 / Angielski / Miękka / 2014 / 754 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." 103 of Shimuras most important papers are collected in four volumes. Volume IV contains his mathematical papers from 1989 to 2001 and some notes to the articles."

Spis treści

List of articles * Yutaka Taniyama and his time * L-functions and eigenvalue problems * Invariant differential operators on hermitian symmetric spaces * On the fundamental periods of automorphic forms of arithmetic type * The critical values of certain Dirichlet series attached to Hilbert modular forms * On the transformation formulas of theta series * On the Fourier coefficients of Hilbert modular forms of half-integral weight * Fractional and trigonometric expressions for matrices * Euler products and Fourier coefficients of automorphic forms on symplectic groups * Differential operators, holomorphic projection, and singular forms * Eisenstein series and zeta functions on symplectic * Zeta functions and Eisenstein series on metaplectic groups * Convergence of zeta functions on symplectic and metaplectic groups * Response * Zeta functions and Eisenstein series on classical groups * An exact mass formula for orthogonal groups * The number of representations of an integer by a quadratic form * Generalized Bessel functions on symmetric spaces * Some exact formulas on quaternion unitary groups * André Weil as I knew him * Arithmeticity of Dirichlet series and automorphic forms on unitary groups * The relative regulator of an algebraic number field * Notes IV

O autorze

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.