Sieves in Number Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics
43 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Slightly more than 25 years ago, the first text devoted entirely to sieve meth ods made its appearance, rapidly to become a standard source and reference in the subject. The book of H. Halberstam and H.-E. Richert had actually been conceived in the mid-1960's. The initial stimulus had been provided by the paper of W. B. Jurkat and Richert, which determined the sifting limit for the linear sieve, using a combination of the ,A2 method of A. Selberg with combinatorial ideas which were in themselves of great importance and in terest. One of the declared objectives in writing their book was to place on record the sharpest form of what they called Selberg sieve theory available at the time. At the same time combinatorial methods were not neglected, and Halber stam and Richert included an account of the purely combinatorial method of Brun, which they believed to be worthy of further examination. Necessar ily they included only a briefer mention of the development of these ideas due (independently) to J. B. Rosser and H. Iwaniec that became generally available around 1971. These combinatorial notions have played a central part in subsequent developments, most notably in the papers of Iwaniec, and a further account may be thought to be timely. There have also been some developments in the theory of the so-called sieve with weights, and an account of these will also be included in this book |
| Beschreibung: | 1 Online-Ressource (XII, 304 p) |
| ISBN: | 9783662046586 9783642074950 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-662-04658-6 |
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Datensatz im Suchindex
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| author | Greaves, George |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512.7 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-04658-6 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| isbn | 9783662046586 9783642074950 |
| issn | 0071-1136 |
| language | English |
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| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics |
| spelling | Greaves, George Verfasser aut Sieves in Number Theory by George Greaves Berlin, Heidelberg Springer Berlin Heidelberg 2001 1 Online-Ressource (XII, 304 p) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics 43 0071-1136 Slightly more than 25 years ago, the first text devoted entirely to sieve meth ods made its appearance, rapidly to become a standard source and reference in the subject. The book of H. Halberstam and H.-E. Richert had actually been conceived in the mid-1960's. The initial stimulus had been provided by the paper of W. B. Jurkat and Richert, which determined the sifting limit for the linear sieve, using a combination of the ,A2 method of A. Selberg with combinatorial ideas which were in themselves of great importance and in terest. One of the declared objectives in writing their book was to place on record the sharpest form of what they called Selberg sieve theory available at the time. At the same time combinatorial methods were not neglected, and Halber stam and Richert included an account of the purely combinatorial method of Brun, which they believed to be worthy of further examination. Necessar ily they included only a briefer mention of the development of these ideas due (independently) to J. B. Rosser and H. Iwaniec that became generally available around 1971. These combinatorial notions have played a central part in subsequent developments, most notably in the papers of Iwaniec, and a further account may be thought to be timely. There have also been some developments in the theory of the so-called sieve with weights, and an account of these will also be included in this book Mathematics Number theory Number Theory Mathematik Siebmethode (DE-588)4181206-2 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Siebmethode (DE-588)4181206-2 s 1\p DE-604 Zahlentheorie (DE-588)4067277-3 s 2\p DE-604 https://doi.org/10.1007/978-3-662-04658-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Greaves, George Sieves in Number Theory Mathematics Number theory Number Theory Mathematik Siebmethode (DE-588)4181206-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4181206-2 (DE-588)4067277-3 |
| title | Sieves in Number Theory |
| title_auth | Sieves in Number Theory |
| title_exact_search | Sieves in Number Theory |
| title_full | Sieves in Number Theory by George Greaves |
| title_fullStr | Sieves in Number Theory by George Greaves |
| title_full_unstemmed | Sieves in Number Theory by George Greaves |
| title_short | Sieves in Number Theory |
| title_sort | sieves in number theory |
| topic | Mathematics Number theory Number Theory Mathematik Siebmethode (DE-588)4181206-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Siebmethode Zahlentheorie |
| url | https://doi.org/10.1007/978-3-662-04658-6 |
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