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Arithmetical Aspects of the Large Sieve Inequality

Arithmetical Aspects of the Large Sieve Inequality

Hardcover

Series: Texts and Readings in Mathematics, Book 89

General ComputersGeneral Mathematics

Currently unavailable to order

ISBN10: 9819247187
ISBN13: 9789819247189
Publisher: Springer
Pages: 249
Language: English
This book develops a unified, modern framework for the large sieve and the Selberg sieve, built on a common system of Hermitian inequalities. It connects classical arguments with more recent methods and applications in analytic and algebraic number theory. The exposition includes improved Brun-Titchmarsh-type bounds, large sieve extensions for sifted sequences, and a development of the enveloping sieve arising from the Selberg sieve. An appendix gathers the relevant mean-value estimates and technical tools into a coherent reference.

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General Mathematics