Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
()
About this ebook
The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution and Fourier transform. The book is simultaneously an account of some of these ideas, techniques, and results, and an account of their application to concrete equidistribution questions concerning Kloosterman sums and Gauss sums.
Nicholas M. Katz
Nicholas M. Katz is Professor of Mathematics at Princeton University. He is the author of five previous books in this series: Arithmetic Moduli of Elliptic Curves (with Barry Mazur); Gauss Sums, Kloosterman Sums, and Monodromy Groups; Exponential Sums and Differential Equations; Rigid Local Systems; and Twisted L-Functions and Monodromy.
Related to Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
Titles in the series (100)
Functional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Algebraic Theory of Numbers. (AM-1), Volume 1 Rating: 0 out of 5 stars0 ratingsMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsDegree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 Rating: 0 out of 5 stars0 ratingsA Theory of Cross-Spaces. (AM-26), Volume 26 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-24), Volume I Rating: 0 out of 5 stars0 ratingsThe Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 Rating: 0 out of 5 stars0 ratingsTopics in Topology. (AM-10), Volume 10 Rating: 0 out of 5 stars0 ratingsAn Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I Rating: 0 out of 5 stars0 ratingsConvergence and Uniformity in Topology. (AM-2), Volume 2 Rating: 0 out of 5 stars0 ratingsMeromorphic Functions and Analytic Curves. (AM-12) Rating: 0 out of 5 stars0 ratingsFunctional Operators (AM-21), Volume 1: Measures and Integrals. (AM-21) Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-45), Volume V Rating: 0 out of 5 stars0 ratingsTopological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratingsProbleme General de la Stabilite du Mouvement. (AM-17), Volume 17 Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 Rating: 0 out of 5 stars0 ratingsSurface Area. (AM-35), Volume 35 Rating: 0 out of 5 stars0 ratingsTranscendental Numbers. (AM-16) Rating: 0 out of 5 stars0 ratingsOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 Rating: 0 out of 5 stars0 ratingsLectures on Modular Forms. (AM-48), Volume 48 Rating: 0 out of 5 stars0 ratingsCurvature and Betti Numbers. (AM-32), Volume 32 Rating: 0 out of 5 stars0 ratingsConsistency of the Continuum Hypothesis. (AM-3), Volume 3 Rating: 0 out of 5 stars0 ratingsExistence Theorems in Partial Differential Equations. (AM-23), Volume 23 Rating: 0 out of 5 stars0 ratingsFourier Transforms. (AM-19), Volume 19 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-28), Volume II Rating: 0 out of 5 stars0 ratings
Related ebooks
Homogeneous Nucleation Theory: The Pretransition Theory of Vapor Condensation Rating: 0 out of 5 stars0 ratingsThe Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) Rating: 0 out of 5 stars0 ratingsSpouted Beds Rating: 0 out of 5 stars0 ratingsTheory of Experiments in Paramagnetic Resonance: International Series of Monographs in Natural Philosophy Rating: 0 out of 5 stars0 ratingsRepresentation Theory of Semisimple Groups: An Overview Based on Examples (PMS-36) Rating: 0 out of 5 stars0 ratingsFundamentals of Gas Particle Flow Rating: 0 out of 5 stars0 ratingsAn Introduction to Astrophysical Hydrodynamics Rating: 0 out of 5 stars0 ratingsMoments, Monodromy, and Perversity. (AM-159): A Diophantine Perspective. (AM-159) Rating: 0 out of 5 stars0 ratingsArithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 Rating: 0 out of 5 stars0 ratingsInitial-Boundary Value Problems and the Navier-Stokes Equations Rating: 0 out of 5 stars0 ratingsAnelastic Relaxation In Crystalline Solids Rating: 0 out of 5 stars0 ratingsDiscrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) Rating: 0 out of 5 stars0 ratingsTheory of Fully Ionized Plasmas Rating: 0 out of 5 stars0 ratingsSemiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154) Rating: 0 out of 5 stars0 ratingsAn Introduction to Stochastic Modeling- Rating: 0 out of 5 stars0 ratingsMultiple Light Scattering: Tables, Formulas, and Applications Rating: 0 out of 5 stars0 ratingsApplied Group Theory: The Commonwealth and International Library: Selected Readings in Physics Rating: 0 out of 5 stars0 ratingsRigid Local Systems. (AM-139), Volume 139 Rating: 0 out of 5 stars0 ratingsAngular Momentum Theory for Diatomic Molecules Rating: 0 out of 5 stars0 ratingsThe Laws of Large Numbers Rating: 0 out of 5 stars0 ratingsAn Introduction to Classical Complex Analysis Rating: 0 out of 5 stars0 ratingsRegression and the Moore-Penrose Pseudoinverse Rating: 0 out of 5 stars0 ratingsMatrices, Moments and Quadrature with Applications Rating: 5 out of 5 stars5/5Channels, Carriers, and Pumps: An Introduction to Membrane Transport Rating: 0 out of 5 stars0 ratingsHeat and Concentration Waves: Analysis and Application Rating: 0 out of 5 stars0 ratingsBiological Oscillators: Their Mathematical Analysis Rating: 0 out of 5 stars0 ratingsTwisted L-Functions and Monodromy. (AM-150), Volume 150 Rating: 0 out of 5 stars0 ratingsProbing the Atom: Interactions of Coupled States, Fast Beams, and Loose Electrons Rating: 2 out of 5 stars2/5An Introduction to G-Functions. (AM-133), Volume 133 Rating: 0 out of 5 stars0 ratingsNuclear magnetic Resonance in biochemistry Rating: 0 out of 5 stars0 ratings
Mathematics For You
The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsBasic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsFlatland Rating: 4 out of 5 stars4/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Logicomix: An epic search for truth Rating: 4 out of 5 stars4/5Alan Turing: The Enigma: The Book That Inspired the Film The Imitation Game - Updated Edition Rating: 4 out of 5 stars4/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5Algebra I For Dummies Rating: 4 out of 5 stars4/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5
Reviews for Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
0 ratings0 reviews