A higher-dimensional sieve method :: with procedures for computing sieve functions /
As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated. This text explains the theory of higher dimensional sieves, examples of which are provided throughout.
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, U.K. ; New York :
Cambridge Univ. Press,
©2008.
|
| Schriftenreihe: | Cambridge tracts in mathematics ;
177. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated. This text explains the theory of higher dimensional sieves, examples of which are provided throughout. |
| Beschreibung: | 1 online resource (xxi, 266 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 259-263) and index. |
| ISBN: | 9780511438653 0511438656 9780521894876 0521894875 9780511436536 051143653X 9780511542909 0511542909 1107201357 9781107201354 1281944467 9781281944467 9786611944469 661194446X 0511437986 9780511437984 0511435738 9780511435737 0511437315 9780511437311 |
Internformat
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| 245 | 1 | 2 | |a A higher-dimensional sieve method : |b with procedures for computing sieve functions / |c Harold G. Diamond, H. Halberstam, William F. Galway. |
| 260 | |a Cambridge, U.K. ; |a New York : |b Cambridge Univ. Press, |c ©2008. | ||
| 300 | |a 1 online resource (xxi, 266 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Cambridge tracts in mathematics ; |v 177 | |
| 504 | |a Includes bibliographical references (pages 259-263) and index. | ||
| 520 | 8 | |a As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated. This text explains the theory of higher dimensional sieves, examples of which are provided throughout. | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title; Copyright; Dedication; Contents; List of Illustrations; List of Tables; Preface; Notation; Standard terminology; Sieve notation; Part I Sieves; 1 Introduction; 2 Selberg's sieve method; 3 Combinatorial foundations; 4 The Fundamental Lemma; 5 Selberg's sieve method (continued); 6 Combinatorial foundations (continued); 7 The case Kappa = 1: the linear sieve; 8 An application of the linear sieve; 9 A sieve method for Kappa> 1; 10 Some applications of Theorem 9.1; 11 A weighted sieve method; Part II Proof of the Main Analytic Theorem; 12 Dramatis personae and preliminaries | |
| 505 | 8 | |a 13 Strategy and a necessary condition14 Estimates of SigmaKappa(u) = jKappa(u/2); 15 The pKappa and qKappa functions; 16 The zeros of ... ; 17 The parameters AlphaKappa and BetaKappa; 18 Properties of FKappa and fKappa; Appendix 1 Procedures for computing sieve functions; A1.1 DDEs and the Iwaniec inner product; A1.2 The upper and lower bound sieve functions; A1.3 Using the Iwaniec inner product; A1.4 Some features of Mathematica; A1.5 Computing FKappa(u) and fKappa(u); A1.6 The function Ein(z); A1.7 Computing the adjoint functions; A1.8 Computing jKappa(u) | |
| 505 | 8 | |a A1.9 Computing AlphaKappa and BetaKappaA1.10 Weighted-sieve computations; Bibliography; Index | |
| 546 | |a English. | ||
| 650 | 0 | |a Sieves (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85122374 | |
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Datensatz im Suchindex
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| adam_text | |
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| author | Diamond, Harold G., 1940- Halberstam, H. (Heini) Galway, William F. |
| author_GND | http://id.loc.gov/authorities/names/n96044802 http://id.loc.gov/authorities/names/n82071584 http://id.loc.gov/authorities/names/nb2008025198 |
| author_facet | Diamond, Harold G., 1940- Halberstam, H. (Heini) Galway, William F. |
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| author_sort | Diamond, Harold G., 1940- |
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| contents | Cover; Title; Copyright; Dedication; Contents; List of Illustrations; List of Tables; Preface; Notation; Standard terminology; Sieve notation; Part I Sieves; 1 Introduction; 2 Selberg's sieve method; 3 Combinatorial foundations; 4 The Fundamental Lemma; 5 Selberg's sieve method (continued); 6 Combinatorial foundations (continued); 7 The case Kappa = 1: the linear sieve; 8 An application of the linear sieve; 9 A sieve method for Kappa> 1; 10 Some applications of Theorem 9.1; 11 A weighted sieve method; Part II Proof of the Main Analytic Theorem; 12 Dramatis personae and preliminaries 13 Strategy and a necessary condition14 Estimates of SigmaKappa(u) = jKappa(u/2); 15 The pKappa and qKappa functions; 16 The zeros of ... ; 17 The parameters AlphaKappa and BetaKappa; 18 Properties of FKappa and fKappa; Appendix 1 Procedures for computing sieve functions; A1.1 DDEs and the Iwaniec inner product; A1.2 The upper and lower bound sieve functions; A1.3 Using the Iwaniec inner product; A1.4 Some features of Mathematica; A1.5 Computing FKappa(u) and fKappa(u); A1.6 The function Ein(z); A1.7 Computing the adjoint functions; A1.8 Computing jKappa(u) A1.9 Computing AlphaKappa and BetaKappaA1.10 Weighted-sieve computations; Bibliography; Index |
| ctrlnum | (OCoLC)310421784 |
| dewey-full | 512.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.73 |
| dewey-search | 512.73 |
| dewey-sort | 3512.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn310421784 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:40Z |
| institution | BVB |
| isbn | 9780511438653 0511438656 9780521894876 0521894875 9780511436536 051143653X 9780511542909 0511542909 1107201357 9781107201354 1281944467 9781281944467 9786611944469 661194446X 0511437986 9780511437984 0511435738 9780511435737 0511437315 9780511437311 |
| language | English |
| oclc_num | 310421784 |
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| physical | 1 online resource (xxi, 266 pages) : illustrations |
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| series2 | Cambridge tracts in mathematics ; |
| spelling | Diamond, Harold G., 1940- https://id.oclc.org/worldcat/entity/E39PCjB4TrPWtk8g7XCQfHYbgq http://id.loc.gov/authorities/names/n96044802 A higher-dimensional sieve method : with procedures for computing sieve functions / Harold G. Diamond, H. Halberstam, William F. Galway. Cambridge, U.K. ; New York : Cambridge Univ. Press, ©2008. 1 online resource (xxi, 266 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge tracts in mathematics ; 177 Includes bibliographical references (pages 259-263) and index. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated. This text explains the theory of higher dimensional sieves, examples of which are provided throughout. Print version record. Cover; Title; Copyright; Dedication; Contents; List of Illustrations; List of Tables; Preface; Notation; Standard terminology; Sieve notation; Part I Sieves; 1 Introduction; 2 Selberg's sieve method; 3 Combinatorial foundations; 4 The Fundamental Lemma; 5 Selberg's sieve method (continued); 6 Combinatorial foundations (continued); 7 The case Kappa = 1: the linear sieve; 8 An application of the linear sieve; 9 A sieve method for Kappa> 1; 10 Some applications of Theorem 9.1; 11 A weighted sieve method; Part II Proof of the Main Analytic Theorem; 12 Dramatis personae and preliminaries 13 Strategy and a necessary condition14 Estimates of SigmaKappa(u) = jKappa(u/2); 15 The pKappa and qKappa functions; 16 The zeros of ... ; 17 The parameters AlphaKappa and BetaKappa; 18 Properties of FKappa and fKappa; Appendix 1 Procedures for computing sieve functions; A1.1 DDEs and the Iwaniec inner product; A1.2 The upper and lower bound sieve functions; A1.3 Using the Iwaniec inner product; A1.4 Some features of Mathematica; A1.5 Computing FKappa(u) and fKappa(u); A1.6 The function Ein(z); A1.7 Computing the adjoint functions; A1.8 Computing jKappa(u) A1.9 Computing AlphaKappa and BetaKappaA1.10 Weighted-sieve computations; Bibliography; Index English. Sieves (Mathematics) http://id.loc.gov/authorities/subjects/sh85122374 Cribles (Mathématiques) MATHEMATICS Number Theory. bisacsh Sieves (Mathematics) fast Electronic books. Halberstam, H. (Heini) aut https://id.oclc.org/worldcat/entity/E39PBJqBkvthQydtYFKQRKmcfq http://id.loc.gov/authorities/names/n82071584 Galway, William F. aut http://id.loc.gov/authorities/names/nb2008025198 has work: A higher-dimensional sieve method (Text) https://id.oclc.org/worldcat/entity/E39PCFWtHwCRMggCBFbwPcTHBX https://id.oclc.org/worldcat/ontology/hasWork Print version: Diamond, Harold G., 1940- Higher-dimensional sieve method. Cambridge, U.K. ; New York : Cambridge Univ. Press, ©2008 9780521894876 0521894875 (OCoLC)232226323 Cambridge tracts in mathematics ; 177. http://id.loc.gov/authorities/names/n42005726 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=254506 Volltext |
| spellingShingle | Diamond, Harold G., 1940- Halberstam, H. (Heini) Galway, William F. A higher-dimensional sieve method : with procedures for computing sieve functions / Cambridge tracts in mathematics ; Cover; Title; Copyright; Dedication; Contents; List of Illustrations; List of Tables; Preface; Notation; Standard terminology; Sieve notation; Part I Sieves; 1 Introduction; 2 Selberg's sieve method; 3 Combinatorial foundations; 4 The Fundamental Lemma; 5 Selberg's sieve method (continued); 6 Combinatorial foundations (continued); 7 The case Kappa = 1: the linear sieve; 8 An application of the linear sieve; 9 A sieve method for Kappa> 1; 10 Some applications of Theorem 9.1; 11 A weighted sieve method; Part II Proof of the Main Analytic Theorem; 12 Dramatis personae and preliminaries 13 Strategy and a necessary condition14 Estimates of SigmaKappa(u) = jKappa(u/2); 15 The pKappa and qKappa functions; 16 The zeros of ... ; 17 The parameters AlphaKappa and BetaKappa; 18 Properties of FKappa and fKappa; Appendix 1 Procedures for computing sieve functions; A1.1 DDEs and the Iwaniec inner product; A1.2 The upper and lower bound sieve functions; A1.3 Using the Iwaniec inner product; A1.4 Some features of Mathematica; A1.5 Computing FKappa(u) and fKappa(u); A1.6 The function Ein(z); A1.7 Computing the adjoint functions; A1.8 Computing jKappa(u) A1.9 Computing AlphaKappa and BetaKappaA1.10 Weighted-sieve computations; Bibliography; Index Sieves (Mathematics) http://id.loc.gov/authorities/subjects/sh85122374 Cribles (Mathématiques) MATHEMATICS Number Theory. bisacsh Sieves (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85122374 |
| title | A higher-dimensional sieve method : with procedures for computing sieve functions / |
| title_auth | A higher-dimensional sieve method : with procedures for computing sieve functions / |
| title_exact_search | A higher-dimensional sieve method : with procedures for computing sieve functions / |
| title_full | A higher-dimensional sieve method : with procedures for computing sieve functions / Harold G. Diamond, H. Halberstam, William F. Galway. |
| title_fullStr | A higher-dimensional sieve method : with procedures for computing sieve functions / Harold G. Diamond, H. Halberstam, William F. Galway. |
| title_full_unstemmed | A higher-dimensional sieve method : with procedures for computing sieve functions / Harold G. Diamond, H. Halberstam, William F. Galway. |
| title_short | A higher-dimensional sieve method : |
| title_sort | higher dimensional sieve method with procedures for computing sieve functions |
| title_sub | with procedures for computing sieve functions / |
| topic | Sieves (Mathematics) http://id.loc.gov/authorities/subjects/sh85122374 Cribles (Mathématiques) MATHEMATICS Number Theory. bisacsh Sieves (Mathematics) fast |
| topic_facet | Sieves (Mathematics) Cribles (Mathématiques) MATHEMATICS Number Theory. Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=254506 |
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