Name: The Large Sieve and its Applications Hardback: Arithmetic Geometry, Random Walks and Discrete Groups: 0 (Cambridge Tracts in Mathematics) (en Inglés)
Price: 2950.71 MXN
Availability: InStock
Author: E. Kowalski
ISBN: 9780521888516

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portada The Large Sieve and its Applications Hardback: Arithmetic Geometry, Random Walks and Discrete Groups: 0 (Cambridge Tracts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

E. Kowalski

Año

2008

Idioma

Inglés

N° páginas

316

Encuadernación

Tapa Dura

Peso

ISBN

0521888514

ISBN13

9780521888516

N° edición

Categorías

Teoría de números

The Large Sieve and its Applications Hardback: Arithmetic Geometry, Random Walks and Discrete Groups: 0 (Cambridge Tracts in Mathematics) (en Inglés)

E. Kowalski (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "The Large Sieve and its Applications Hardback: Arithmetic Geometry, Random Walks and Discrete Groups: 0 (Cambridge Tracts in Mathematics) (en Inglés)"

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 realization 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.