Prime-Detecting Sieves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
2007
|
| Schriftenreihe: | London Mathematical Society Monographs
33 |
| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-859 DE-860 DE-739 Volltext Volltext |
| Beschreibung: | Biographical note: HarmanGlyn: Glyn Harman is professor of pure mathematics at the University of London, Royal Holloway. He is the author of "Metric Number Theory", the coeditor of "Sieve Methods, Exponential Sums, and their Applications in Number Theory", and the corecipient of the Hardy-Ramanujan award for his work on primes in short intervals Main description: This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers |
| Beschreibung: | 1 Online-Ressource (384 S.) |
| ISBN: | 9781400845934 |
| DOI: | 10.1515/9781400845934 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042523085 | ||
| 003 | DE-604 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150423s2007 xx o|||| 00||| eng d | ||
| 020 | |a 9781400845934 |9 978-1-4008-4593-4 | ||
| 024 | 7 | |a 10.1515/9781400845934 |2 doi | |
| 035 | |a (OCoLC)847032137 | ||
| 035 | |a (DE-599)BVBBV042523085 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-859 |a DE-860 |a DE-739 |a DE-1046 |a DE-1043 |a DE-858 | ||
| 082 | 0 | |a 512.73 | |
| 100 | 1 | |a Harman, Glyn |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Prime-Detecting Sieves |
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c 2007 | |
| 300 | |a 1 Online-Ressource (384 S.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society Monographs |v 33 | |
| 500 | |a Biographical note: HarmanGlyn: Glyn Harman is professor of pure mathematics at the University of London, Royal Holloway. He is the author of "Metric Number Theory", the coeditor of "Sieve Methods, Exponential Sums, and their Applications in Number Theory", and the corecipient of the Hardy-Ramanujan award for his work on primes in short intervals | ||
| 500 | |a Main description: This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers | ||
| 650 | 0 | 7 | |a Zahlkörper |0 (DE-588)4067273-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Primzahl |0 (DE-588)4047263-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Sieb |0 (DE-588)4153243-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Primzahl |0 (DE-588)4047263-2 |D s |
| 689 | 0 | 1 | |a Zahlkörper |0 (DE-588)4067273-6 |D s |
| 689 | 0 | 2 | |a Sieb |0 (DE-588)4153243-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400845934 |x Verlag |3 Volltext |
| 856 | 4 | 0 | |u http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400845934&searchTitles=true |x Verlag |3 Volltext |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 912 | |a ZDB-23-DGG | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027957424 | |
| 966 | e | |u https://doi.org/10.1515/9781400845934?locatt=mode:legacy |l DE-1043 |p ZDB-23-DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400845934?locatt=mode:legacy |l DE-1046 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400845934?locatt=mode:legacy |l DE-858 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400845934?locatt=mode:legacy |l DE-859 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400845934?locatt=mode:legacy |l DE-860 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9781400845934?locatt=mode:legacy |l DE-739 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1824408207332737024 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Harman, Glyn |
| author_facet | Harman, Glyn |
| author_role | aut |
| author_sort | Harman, Glyn |
| author_variant | g h gh |
| building | Verbundindex |
| bvnumber | BV042523085 |
| collection | ZDB-23-DGG |
| ctrlnum | (OCoLC)847032137 (DE-599)BVBBV042523085 |
| 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 | 10.1515/9781400845934 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zcb4500</leader><controlfield tag="001">BV042523085</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150423s2007 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400845934</subfield><subfield code="9">978-1-4008-4593-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400845934</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)847032137</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042523085</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.73</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Harman, Glyn</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Prime-Detecting Sieves</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, N.J.</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (384 S.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society Monographs</subfield><subfield code="v">33</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Biographical note: HarmanGlyn: Glyn Harman is professor of pure mathematics at the University of London, Royal Holloway. He is the author of "Metric Number Theory", the coeditor of "Sieve Methods, Exponential Sums, and their Applications in Number Theory", and the corecipient of the Hardy-Ramanujan award for his work on primes in short intervals</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Main description: This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahlkörper</subfield><subfield code="0">(DE-588)4067273-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Primzahl</subfield><subfield code="0">(DE-588)4047263-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Sieb</subfield><subfield code="0">(DE-588)4153243-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Primzahl</subfield><subfield code="0">(DE-588)4047263-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Zahlkörper</subfield><subfield code="0">(DE-588)4067273-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Sieb</subfield><subfield code="0">(DE-588)4153243-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400845934</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400845934&searchTitles=true</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027957424</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400845934?locatt=mode:legacy</subfield><subfield code="l">DE-1043</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400845934?locatt=mode:legacy</subfield><subfield code="l">DE-1046</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAW_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400845934?locatt=mode:legacy</subfield><subfield code="l">DE-858</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FCO_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400845934?locatt=mode:legacy</subfield><subfield code="l">DE-859</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FKE_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400845934?locatt=mode:legacy</subfield><subfield code="l">DE-860</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FLA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400845934?locatt=mode:legacy</subfield><subfield code="l">DE-739</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UPA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV042523085 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-18T15:07:29Z |
| institution | BVB |
| isbn | 9781400845934 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027957424 |
| oclc_num | 847032137 |
| open_access_boolean | |
| owner | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 |
| owner_facet | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 |
| physical | 1 Online-Ressource (384 S.) |
| psigel | ZDB-23-DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Princeton University Press |
| record_format | marc |
| series2 | London Mathematical Society Monographs |
| spelling | Harman, Glyn Verfasser aut Prime-Detecting Sieves Princeton, N.J. Princeton University Press 2007 1 Online-Ressource (384 S.) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society Monographs 33 Biographical note: HarmanGlyn: Glyn Harman is professor of pure mathematics at the University of London, Royal Holloway. He is the author of "Metric Number Theory", the coeditor of "Sieve Methods, Exponential Sums, and their Applications in Number Theory", and the corecipient of the Hardy-Ramanujan award for his work on primes in short intervals Main description: This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers Zahlkörper (DE-588)4067273-6 gnd rswk-swf Primzahl (DE-588)4047263-2 gnd rswk-swf Sieb (DE-588)4153243-0 gnd rswk-swf Primzahl (DE-588)4047263-2 s Zahlkörper (DE-588)4067273-6 s Sieb (DE-588)4153243-0 s 1\p DE-604 https://doi.org/10.1515/9781400845934 Verlag Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400845934&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Harman, Glyn Prime-Detecting Sieves Zahlkörper (DE-588)4067273-6 gnd Primzahl (DE-588)4047263-2 gnd Sieb (DE-588)4153243-0 gnd |
| subject_GND | (DE-588)4067273-6 (DE-588)4047263-2 (DE-588)4153243-0 |
| title | Prime-Detecting Sieves |
| title_auth | Prime-Detecting Sieves |
| title_exact_search | Prime-Detecting Sieves |
| title_full | Prime-Detecting Sieves |
| title_fullStr | Prime-Detecting Sieves |
| title_full_unstemmed | Prime-Detecting Sieves |
| title_short | Prime-Detecting Sieves |
| title_sort | prime detecting sieves |
| topic | Zahlkörper (DE-588)4067273-6 gnd Primzahl (DE-588)4047263-2 gnd Sieb (DE-588)4153243-0 gnd |
| topic_facet | Zahlkörper Primzahl Sieb |
| url | https://doi.org/10.1515/9781400845934 http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400845934&searchTitles=true |
| work_keys_str_mv | AT harmanglyn primedetectingsieves |