Divisors:
This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view. The authors are especially concerned with the distribution of the divisors, which is as fundamental and important as the additive structure of the integers, and yet until now has hardly be...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1988
|
| Schriftenreihe: | Cambridge tracts in mathematics
90 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-355 Volltext |
| Zusammenfassung: | This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view. The authors are especially concerned with the distribution of the divisors, which is as fundamental and important as the additive structure of the integers, and yet until now has hardly been discussed outside of the research literature. Hardy and Ramanujan initiated this area of research and it was developed by Erdös in the thirties. His work led to some deep and basic conjectures of wide application which have now essentially been settled. This book contains detailed proofs, some of which have never appeared in print before, of those conjectures that are concerned with the propinquity of divisors. Consequently it will be essential reading for all researchers in analytic number theory |
| Beschreibung: | 1 Online-Ressource (xvi, 167 Seiten) |
| ISBN: | 9780511566004 |
| DOI: | 10.1017/CBO9780511566004 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043942235 | ||
| 003 | DE-604 | ||
| 005 | 20190329 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s1988 xx o|||| 00||| eng d | ||
| 020 | |a 9780511566004 |c Online |9 978-0-511-56600-4 | ||
| 024 | 7 | |a 10.1017/CBO9780511566004 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511566004 | ||
| 035 | |a (OCoLC)849791815 | ||
| 035 | |a (DE-599)BVBBV043942235 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-355 | ||
| 082 | 0 | |a 519.2 |2 19eng | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 100 | 1 | |a Hall, Richard R. |e Verfasser |0 (DE-588)142400912 |4 aut | |
| 245 | 1 | 0 | |a Divisors |c Richard R. Hall, Gerald Tenenbaum |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1988 | |
| 300 | |a 1 Online-Ressource (xvi, 167 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge tracts in mathematics |v 90 | |
| 520 | |a This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view. The authors are especially concerned with the distribution of the divisors, which is as fundamental and important as the additive structure of the integers, and yet until now has hardly been discussed outside of the research literature. Hardy and Ramanujan initiated this area of research and it was developed by Erdös in the thirties. His work led to some deep and basic conjectures of wide application which have now essentially been settled. This book contains detailed proofs, some of which have never appeared in print before, of those conjectures that are concerned with the propinquity of divisors. Consequently it will be essential reading for all researchers in analytic number theory | ||
| 650 | 4 | |a Divisor theory | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 0 | 7 | |a Divisor |0 (DE-588)4150324-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Divisor |0 (DE-588)4150324-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Divisor |0 (DE-588)4150324-7 |D s |
| 689 | 1 | 1 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Tenenbaum, Gérald |d 1952- |e Sonstige |0 (DE-588)1066273146 |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-34056-4 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-09167-1 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511566004 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-029351204 | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511566004 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511566004 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511566004 |l DE-355 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1817484627112099840 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Hall, Richard R. |
| author_GND | (DE-588)142400912 (DE-588)1066273146 |
| author_facet | Hall, Richard R. |
| author_role | aut |
| author_sort | Hall, Richard R. |
| author_variant | r r h rr rrh |
| building | Verbundindex |
| bvnumber | BV043942235 |
| classification_rvk | SK 180 SK 800 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511566004 (OCoLC)849791815 (DE-599)BVBBV043942235 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511566004 |
| 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">BV043942235</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190329</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1988 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511566004</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-56600-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511566004</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511566004</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)849791815</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043942235</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2</subfield><subfield code="2">19eng</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hall, Richard R.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)142400912</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Divisors</subfield><subfield code="c">Richard R. Hall, Gerald Tenenbaum</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1988</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xvi, 167 Seiten)</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">Cambridge tracts in mathematics</subfield><subfield code="v">90</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view. The authors are especially concerned with the distribution of the divisors, which is as fundamental and important as the additive structure of the integers, and yet until now has hardly been discussed outside of the research literature. Hardy and Ramanujan initiated this area of research and it was developed by Erdös in the thirties. His work led to some deep and basic conjectures of wide application which have now essentially been settled. This book contains detailed proofs, some of which have never appeared in print before, of those conjectures that are concerned with the propinquity of divisors. Consequently it will be essential reading for all researchers in analytic number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Divisor theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distribution (Probability theory)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Divisor</subfield><subfield code="0">(DE-588)4150324-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Divisor</subfield><subfield code="0">(DE-588)4150324-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Divisor</subfield><subfield code="0">(DE-588)4150324-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tenenbaum, Gérald</subfield><subfield code="d">1952-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1066273146</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-34056-4</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-09167-1</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511566004</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029351204</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511566004</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511566004</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511566004</subfield><subfield code="l">DE-355</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBR Einzelkauf (Lückenergänzung CUP Serien 2018)</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043942235 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-04T05:00:08Z |
| institution | BVB |
| isbn | 9780511566004 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351204 |
| oclc_num | 849791815 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xvi, 167 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Hall, Richard R. Verfasser (DE-588)142400912 aut Divisors Richard R. Hall, Gerald Tenenbaum Cambridge Cambridge University Press 1988 1 Online-Ressource (xvi, 167 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 90 This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view. The authors are especially concerned with the distribution of the divisors, which is as fundamental and important as the additive structure of the integers, and yet until now has hardly been discussed outside of the research literature. Hardy and Ramanujan initiated this area of research and it was developed by Erdös in the thirties. His work led to some deep and basic conjectures of wide application which have now essentially been settled. This book contains detailed proofs, some of which have never appeared in print before, of those conjectures that are concerned with the propinquity of divisors. Consequently it will be essential reading for all researchers in analytic number theory Divisor theory Distribution (Probability theory) Divisor (DE-588)4150324-7 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Divisor (DE-588)4150324-7 s DE-604 Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s Tenenbaum, Gérald 1952- Sonstige (DE-588)1066273146 oth Erscheint auch als Druck-Ausgabe 978-0-521-34056-4 Erscheint auch als Druck-Ausgabe 978-0-521-09167-1 https://doi.org/10.1017/CBO9780511566004 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Hall, Richard R. Divisors Divisor theory Distribution (Probability theory) Divisor (DE-588)4150324-7 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| subject_GND | (DE-588)4150324-7 (DE-588)4121894-2 |
| title | Divisors |
| title_auth | Divisors |
| title_exact_search | Divisors |
| title_full | Divisors Richard R. Hall, Gerald Tenenbaum |
| title_fullStr | Divisors Richard R. Hall, Gerald Tenenbaum |
| title_full_unstemmed | Divisors Richard R. Hall, Gerald Tenenbaum |
| title_short | Divisors |
| title_sort | divisors |
| topic | Divisor theory Distribution (Probability theory) Divisor (DE-588)4150324-7 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| topic_facet | Divisor theory Distribution (Probability theory) Divisor Wahrscheinlichkeitsverteilung |
| url | https://doi.org/10.1017/CBO9780511566004 |
| work_keys_str_mv | AT hallrichardr divisors AT tenenbaumgerald divisors |