The Large Sieve and its Applications by E Kowalski
Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realisation that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.-
The Geometry of Fractal Sets
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Riemannian Geometry
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Miniquaternion Geometry
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The Geometry of Total Curvature on Complete Open Surfaces
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Metric Spaces
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A Universal Construction for Groups Acting Freely on Real Trees
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Birational Geometry and Manin's Conjecture
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Coherence in Three-Dimensional Category Theory
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Dilation and Model Theory for Pairs of Commuting Contraction Operators
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The Direct Method in Soliton Theory
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Matrix Positivity
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Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem
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Topics in Critical Point Theory
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Category and Measure
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The Mathieu Groups
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Modern Approaches to the Invariant-Subspace Problem
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Frobenius Manifolds and Moduli Spaces for Singularities
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Group Cohomology and Algebraic Cycles
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Permutation Group Algorithms
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Nonlinear Perron–Frobenius Theory
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Abelian Varieties, Theta Functions and the Fourier Transform
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Matrices of Sign-Solvable Linear Systems
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The Cube-A Window to Convex and Discrete Geometry
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Combinatorics of Minuscule Representations
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Polynomials and Vanishing Cycles
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Restricted Orbit Equivalence for Actions of Discrete Amenable Groups
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Metric Diophantine Approximation on Manifolds
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Applications of Diophantine Approximation to Integral Points and Transcendence
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An Introduction to Homotopy Theory
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Linear and Projective Representations of Symmetric Groups
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Dependence with Complete Connections and its Applications
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Fixed Point Theory and Applications
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Justification Logic
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Synthetic Geometry of Manifolds
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Dynamical Systems and Semisimple Groups
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Distribution Modulo One and Diophantine Approximation
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The Levy Laplacian
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Sets of Multiples
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Period Domains over Finite and p-adic Fields
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Large Deviations for Markov Chains
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Levy Processes in Lie Groups
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Character Sums with Exponential Functions and their Applications
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Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations
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Quasi-Frobenius Rings
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The Covering Property Axiom, CPA
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Ridge Functions
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Jordan Structures in Geometry and Analysis
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Typical Dynamics of Volume Preserving Homeomorphisms
Emmanuel Kowalski is Professor in the Departement Mathematik at ETH Zürich.
| SKU | Unavailable |
| ISBN 13 | 9780521888516 |
| ISBN 10 | 0521888514 |
| Title | The Large Sieve and its Applications |
| Author | E Kowalski |
| Series | Cambridge Tracts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2008-05-22 |
| Number of pages | 316 |
| Prizes | Short-listed for Diagram Prize for the Oddest Title of the Year 2008 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |