An introduction to sieve methods and their applications:
Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
|
| Schriftenreihe: | London Mathematical Society student texts
66 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivated introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory, and non-experts can gain a quick introduction to the techniques of the subject |
| Beschreibung: | 1 Online-Ressource (xii, 224 Seiten) |
| ISBN: | 9780511615993 |
| DOI: | 10.1017/CBO9780511615993 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804176881384161280 |
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| any_adam_object | |
| author | Cojocaru, Alina Carmen Murty, Maruti Ram 1953- |
| author_GND | (DE-588)1012851354 (DE-588)120837307 |
| author_facet | Cojocaru, Alina Carmen Murty, Maruti Ram 1953- |
| author_role | aut aut |
| author_sort | Cojocaru, Alina Carmen |
| author_variant | a c c ac acc m r m mr mrm |
| building | Verbundindex |
| bvnumber | BV043940616 |
| classification_rvk | SK 180 |
| collection | ZDB-20-CBO |
| contents | Some basic notions Some elementary sieves normal order method Turan sieve sieve of Eratosthenes Brun's sieve Selberg's sieve large sieve Bombieri lower bound sieve New directions in sieve theory |
| ctrlnum | (ZDB-20-CBO)CR9780511615993 (OCoLC)1060648696 (DE-599)BVBBV043940616 |
| 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 |
| doi_str_mv | 10.1017/CBO9780511615993 |
| format | Electronic eBook |
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| id | DE-604.BV043940616 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| institution_GND | (DE-588)1011030-6 |
| isbn | 9780511615993 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349586 |
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| physical | 1 Online-Ressource (xii, 224 Seiten) |
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| spelling | Cojocaru, Alina Carmen Verfasser (DE-588)1012851354 aut An introduction to sieve methods and their applications Alina Caremn Cojocaru, M. Ram Murty An Introduction to Sieve Methods & Their Applications Cambridge Cambridge University Press 2005 1 Online-Ressource (xii, 224 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 66 1 Some basic notions 2 Some elementary sieves 3 normal order method 4 Turan sieve 5 sieve of Eratosthenes 6 Brun's sieve 7 Selberg's sieve 8 large sieve 9 Bombieri 10 lower bound sieve 11 New directions in sieve theory Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even number can be written as the sum of two prime numbers, have been two of the problems that have inspired the development of the theory. This book provides a motivated introduction to sieve theory. Rather than focus on technical details which can obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. The text can be used for a senior level undergraduate course or an introductory graduate course in analytic number theory, and non-experts can gain a quick introduction to the techniques of the subject Sieves (Mathematics) Siebmethode (DE-588)4181206-2 gnd rswk-swf Siebmethode (DE-588)4181206-2 s DE-604 Murty, Maruti Ram 1953- Verfasser (DE-588)120837307 aut London Mathematical Society Sonstige (DE-588)1011030-6 oth Erscheint auch als Druck-Ausgabe 978-0-521-84816-9 Erscheint auch als Druck-Ausgabe 978-0-521-61275-3 https://doi.org/10.1017/CBO9780511615993 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cojocaru, Alina Carmen Murty, Maruti Ram 1953- An introduction to sieve methods and their applications Some basic notions Some elementary sieves normal order method Turan sieve sieve of Eratosthenes Brun's sieve Selberg's sieve large sieve Bombieri lower bound sieve New directions in sieve theory Sieves (Mathematics) Siebmethode (DE-588)4181206-2 gnd |
| subject_GND | (DE-588)4181206-2 |
| title | An introduction to sieve methods and their applications |
| title_alt | An Introduction to Sieve Methods & Their Applications Some basic notions Some elementary sieves normal order method Turan sieve sieve of Eratosthenes Brun's sieve Selberg's sieve large sieve Bombieri lower bound sieve New directions in sieve theory |
| title_auth | An introduction to sieve methods and their applications |
| title_exact_search | An introduction to sieve methods and their applications |
| title_full | An introduction to sieve methods and their applications Alina Caremn Cojocaru, M. Ram Murty |
| title_fullStr | An introduction to sieve methods and their applications Alina Caremn Cojocaru, M. Ram Murty |
| title_full_unstemmed | An introduction to sieve methods and their applications Alina Caremn Cojocaru, M. Ram Murty |
| title_short | An introduction to sieve methods and their applications |
| title_sort | an introduction to sieve methods and their applications |
| topic | Sieves (Mathematics) Siebmethode (DE-588)4181206-2 gnd |
| topic_facet | Sieves (Mathematics) Siebmethode |
| url | https://doi.org/10.1017/CBO9780511615993 |
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