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- catalog contributor b12153884.
- catalog created "2001.".
- catalog date "2001".
- catalog date "2001.".
- catalog dateCopyrighted "2001.".
- catalog description "1. The Structure of Sifting Arguments -- 1.1. The Sieves of Eratosthenes and Legendre -- 1.2. Examples of Sifting Situations -- 1.3. A General Formulation of a Sifting Situation -- 2. Selberg's Upper Bound Method -- 2.1. The Sifting Apparatus -- 2.2. General Estimates of G(x) and E(D, P) -- 2.3. Applications -- 3. Combinatorial Methods -- 3.1. The Construction of Combinatorial Sieves -- 3.2. Brun's Pure Sieve -- 3.3. A Modern Edition of Brun's Sieve -- 3.4. Brun's Version of his Method -- 4. Rosser's Sieve -- 4.1. Approximations by Continuous Functions -- 4.2. The Functions F and f -- 4.3. The Convergence Problem -- 4.4. A Sieve Theorem Following Rosser -- 4.5. Extremal Examples -- 5. The Sieve with Weights -- 5.1. Simpler Weighting Devices -- 5.2. More Elaborate Weighted Sieves -- 5.3. A Weighted Sieve Following Rosser -- 6. The Remainder Term in the Linear Sieve -- 6.1. The Bilinear Nature of Rosser's Construction -- 6.2. Sifting Short Intervals -- 7. Lower Bound Sieves when [kappa] > 1 -- 7.1. An Extension of Selberg's Upper Bound -- 7.2. A Lower Bound Sieve via Buchstab's Identity -- 7.3. Selberg's [Lambda][Superscript 2] [Lambda] Method.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xii, 304 p. ;".
- catalog identifier "3540416471 (acid-free paper)".
- catalog isPartOf "Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 43.".
- catalog isPartOf "Ergebnisse der Mathematik und ihrer Grenzgebiete, 0071-1136 ; 3. Folge, v. 43".
- catalog issued "2001".
- catalog issued "2001.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "512/.72 21".
- catalog subject "QA246 .G74 2001".
- catalog subject "Sieves (Mathematics)".
- catalog tableOfContents "1. The Structure of Sifting Arguments -- 1.1. The Sieves of Eratosthenes and Legendre -- 1.2. Examples of Sifting Situations -- 1.3. A General Formulation of a Sifting Situation -- 2. Selberg's Upper Bound Method -- 2.1. The Sifting Apparatus -- 2.2. General Estimates of G(x) and E(D, P) -- 2.3. Applications -- 3. Combinatorial Methods -- 3.1. The Construction of Combinatorial Sieves -- 3.2. Brun's Pure Sieve -- 3.3. A Modern Edition of Brun's Sieve -- 3.4. Brun's Version of his Method -- 4. Rosser's Sieve -- 4.1. Approximations by Continuous Functions -- 4.2. The Functions F and f -- 4.3. The Convergence Problem -- 4.4. A Sieve Theorem Following Rosser -- 4.5. Extremal Examples -- 5. The Sieve with Weights -- 5.1. Simpler Weighting Devices -- 5.2. More Elaborate Weighted Sieves -- 5.3. A Weighted Sieve Following Rosser -- 6. The Remainder Term in the Linear Sieve -- 6.1. The Bilinear Nature of Rosser's Construction -- 6.2. Sifting Short Intervals -- 7. Lower Bound Sieves when [kappa] > 1 -- 7.1. An Extension of Selberg's Upper Bound -- 7.2. A Lower Bound Sieve via Buchstab's Identity -- 7.3. Selberg's [Lambda][Superscript 2] [Lambda] Method.".
- catalog title "Sieves in number theory / George Greaves.".
- catalog type "text".