Abelian Varieties with Complex Multiplication and Modular Functions by Goro Shimura
Reciprocity laws of various kinds play a central role in number theory. This book states several reciprocity laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. It also covers the zeta function of an abelian variety as a main theme.-
Three-Dimensional Geometry and Topology, Volume 1
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Real Submanifolds in Complex Space and Their Mappings
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The Topology of Fibre Bundles
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Homological Algebra
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The Global Nonlinear Stability of the Minkowski Space
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Pseudodifferential Operators
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Problems in Analysis
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Global Analysis
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Topics in Ergodic Theory
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Hypo-Analytic Structures
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Differential and Combinatorial Topology
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Dimension Theory
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Foundations of Algebraic Analysis
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Convex Analysis
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Mathematical Methods of Statistics
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Topology of 4-Manifolds
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Étale Cohomology
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Lectures on Kahler Groups
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Representation Theory of Semisimple Groups
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Introduction to Fourier Analysis on Euclidean Spaces
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Theory of Lie Groups
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Laplace Transform
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Riemann Surfaces
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Essays on Fourier Analysis in Honor of Elias M. Stein
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Spin Geometry
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Singular Integrals and Differentiability Properties of Functions
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Cohomological Induction and Unitary Representations
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Harmonic Analysis
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The Classical Groups
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A Primer on Mapping Class Groups
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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane
"[This book] is a beautifully written, self-contained and complete treatment of a subject of which GShimura is a founding master, and is a fundamental reference for any researcher or student of the antimetric theory of abelian varieties and modular functions, and in particular of its applications to class field theory."--Bulletin of the London Mathematical Society
Goro Shimura is Professor of Mathematics at Princeton University. He was awarded the Leroy P. Steele Prize in 1996 for lifetime achievement in mathematics by the American Mathematical Society. He is the author of Introduction to Arithmetic Theory of Automorphic Functions (Princeton).
| SKU | Unavailable |
| ISBN 13 | 9780691016566 |
| ISBN 10 | 0691016569 |
| Title | Abelian Varieties with Complex Multiplication and Modular Functions |
| Author | Goro Shimura |
| Series | Princeton Mathematical Series |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Princeton University Press |
| Year published | 1997-12-28 |
| Number of pages | 232 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |