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- catalog contributor b11780103.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Automorphic Forms and Families of Abelian Varieties -- Algebraic preliminaries -- Polarized abelian varieties -- Symmetric spaces and factors of automorphy -- Families of polarized abelian varieties -- Definition of automorphic forms -- Parametrization by theta functions -- Arithmeticity of Automorphic Forms -- The field A[subscript 0](Q[subscript ab]) -- Action of certain elements of G[subscript A] on [characters not reproducible] -- The reciprocity-law at CM-points and rationality of automorphic forms -- Automorphisms of the spaces of automorphic forms -- Arithmeticity at CM-points -- Arithmetic of Differential Operators and Nearly Holomorphic Functions -- Differential operators on symmetric spaces -- Nearly holomorphic functions -- Arithmeticity of nearly holomorphic functions -- Holomorphic projection -- Eisenstein Series of Simpler Types -- Eisenstein series on U ([eta subscript n]) -- Arithmeticity and near holomorphy of Eisenstein series -- Eisenstein series in the Hilbert modular case -- Zeta Functions Associated with Hecke Eigenforms -- Formal Euler products and generalized Mobius functions -- Dirichlet series obtained from Hecke eigenvalues and Fourier coefficients -- The Euler products for the forms of half-integral weight -- The largest possible pole of Z (s, f, x) -- Analytic Continuation and Near Holomorphy of Eisenstein Series of General Types -- Eisenstein series of general types -- Pullback of Eisenstein series -- Proof of Theorems in Sections 20 and 23 -- Near holomorphy of Eisenstein series in Case UB.".
- catalog description "Includes bibliographical references (p. 297-299) and index.".
- catalog extent "x, 302 p. ;".
- catalog identifier "0821826719 (alk. paper)".
- catalog isPartOf "Mathematical surveys and monographs ; no. 82.".
- catalog isPartOf "Mathematical surveys and monographs, 0076-5376 ; v. 82".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "Providence, RI : American Mathematical Society,".
- catalog subject "512/.7 21".
- catalog subject "Automorphic forms.".
- catalog subject "QA331 .S4645 2000".
- catalog tableOfContents "Automorphic Forms and Families of Abelian Varieties -- Algebraic preliminaries -- Polarized abelian varieties -- Symmetric spaces and factors of automorphy -- Families of polarized abelian varieties -- Definition of automorphic forms -- Parametrization by theta functions -- Arithmeticity of Automorphic Forms -- The field A[subscript 0](Q[subscript ab]) -- Action of certain elements of G[subscript A] on [characters not reproducible] -- The reciprocity-law at CM-points and rationality of automorphic forms -- Automorphisms of the spaces of automorphic forms -- Arithmeticity at CM-points -- Arithmetic of Differential Operators and Nearly Holomorphic Functions -- Differential operators on symmetric spaces -- Nearly holomorphic functions -- Arithmeticity of nearly holomorphic functions -- Holomorphic projection -- Eisenstein Series of Simpler Types -- Eisenstein series on U ([eta subscript n]) -- Arithmeticity and near holomorphy of Eisenstein series -- Eisenstein series in the Hilbert modular case -- Zeta Functions Associated with Hecke Eigenforms -- Formal Euler products and generalized Mobius functions -- Dirichlet series obtained from Hecke eigenvalues and Fourier coefficients -- The Euler products for the forms of half-integral weight -- The largest possible pole of Z (s, f, x) -- Analytic Continuation and Near Holomorphy of Eisenstein Series of General Types -- Eisenstein series of general types -- Pullback of Eisenstein series -- Proof of Theorems in Sections 20 and 23 -- Near holomorphy of Eisenstein series in Case UB.".
- catalog title "Arithmeticity in the theory of automorphic forms / Goro Shimura.".
- catalog type "text".