Multiplicative number theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1980
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Graduate texts in mathematics
74 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 177 S. |
| ISBN: | 0387905332 3540905332 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002265864 | ||
| 003 | DE-604 | ||
| 005 | 20160720 | ||
| 007 | t | ||
| 008 | 890928s1980 |||| 00||| eng d | ||
| 020 | |a 0387905332 |9 0-387-90533-2 | ||
| 020 | |a 3540905332 |9 3-540-90533-2 | ||
| 035 | |a (OCoLC)6917570 | ||
| 035 | |a (DE-599)BVBBV002265864 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-703 |a DE-739 |a DE-824 |a DE-19 |a DE-29T |a DE-83 |a DE-188 |a DE-706 | ||
| 050 | 0 | |a QA241 | |
| 080 | |a 511 | ||
| 082 | 0 | |a 512/.7 |2 19 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a 10Hxx |2 msc | ||
| 100 | 1 | |a Davenport, Harold |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multiplicative number theory |
| 250 | |a 2. ed. |b rev. by Hugh L. Montgomery | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1980 | |
| 300 | |a XI, 177 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate texts in mathematics |v 74 | |
| 650 | 4 | |a Nombres premiers | |
| 650 | 7 | |a Nombres premiers |2 ram | |
| 650 | 4 | |a Nombres, Théorie des | |
| 650 | 7 | |a Nombres, théorie des |2 ram | |
| 650 | 4 | |a Number theory | |
| 650 | 4 | |a Numbers, Prime | |
| 650 | 0 | 7 | |a Multiplikative Zahlentheorie |0 (DE-588)4040699-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Primzahl |0 (DE-588)4047263-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Primzahl |0 (DE-588)4047263-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Multiplikative Zahlentheorie |0 (DE-588)4040699-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Montgomery, Hugh L. |d 1944- |e Sonstige |0 (DE-588)172262968 |4 oth | |
| 830 | 0 | |a Graduate texts in mathematics |v 74 |w (DE-604)BV000000067 |9 74 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001488967 | ||
| 980 | 4 | |a (DE-12)AK4880886 | |
| 980 | 4 | |a (DE-12)AK15240657 | |
Datensatz im Suchindex
| _version_ | 1804116723583942656 |
|---|---|
| adam_text | CONTENTS
Preface to Second Edition vii
Preface to First Edition ix
Bibliography xi
Notation xiii
1 Primes in Arithmetic Progression 1
2 Gauss Sum 12
3 Cyclotomy 17
4 Primes in Arithmetic Progression: The General Modulus 27
5 Primitive Characters 35
6 Dirichlet s Class Number Formula 43
7 The Distribution of the Primes 54
8 Riemann s Memoir 59
9 The Functional Equation of the L Functions 65
10 Properties of the F Function 73
11 Integral Functions of Order 1 74
12 The Infinite Productsjjj: £(s) and £(s, x) 79
13 A Zero Free Region for £(s) 84
14 Zero Free Regions for L(s, x) 88
15 The Number N{T) 97
16 The Number N(T, x) 101
17 The Explicit Formula for j/(x) 104
18 The Prime Number Theorem 111
19 The Explicit Formula for j/{x, x) 115
20 The Prime Number Theorem for Arithmetic Progressions
(I) 121
21 Siegel s Theorem 126
22 The Prime Number Theorem for Arithmetic Progressions
(II) 132
23 The Polya Vinogradov Inequality 135
24 Further Prime Number Sums 138
25 An Exponential Sum Formed with Primes 143
26 Sums of Three Primes 145
27 The Large Sieve 151
28 Bombieri s Theorem 161
29 An Average Result 169
30 References to Other Work 172
Index 175
V
|
| any_adam_object | 1 |
| author | Davenport, Harold |
| author_GND | (DE-588)172262968 |
| author_facet | Davenport, Harold |
| author_role | aut |
| author_sort | Davenport, Harold |
| author_variant | h d hd |
| building | Verbundindex |
| bvnumber | BV002265864 |
| callnumber-first | Q - Science |
| callnumber-label | QA241 |
| callnumber-raw | QA241 |
| callnumber-search | QA241 |
| callnumber-sort | QA 3241 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)6917570 (DE-599)BVBBV002265864 |
| dewey-full | 512/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.7 |
| dewey-search | 512/.7 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02146nam a2200589 cb4500</leader><controlfield tag="001">BV002265864</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160720 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1980 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387905332</subfield><subfield code="9">0-387-90533-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540905332</subfield><subfield code="9">3-540-90533-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)6917570</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002265864</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</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-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA241</subfield></datafield><datafield tag="080" ind1=" " ind2=" "><subfield code="a">511</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.7</subfield><subfield code="2">19</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">10Hxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Davenport, Harold</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multiplicative number theory</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed. </subfield><subfield code="b">rev. by Hugh L. Montgomery</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1980</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 177 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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">74</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nombres premiers</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nombres premiers</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nombres, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nombres, théorie des</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numbers, Prime</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Multiplikative Zahlentheorie</subfield><subfield code="0">(DE-588)4040699-4</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">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</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=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Multiplikative Zahlentheorie</subfield><subfield code="0">(DE-588)4040699-4</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">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</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">Montgomery, Hugh L.</subfield><subfield code="d">1944-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)172262968</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">74</subfield><subfield code="w">(DE-604)BV000000067</subfield><subfield code="9">74</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001488967</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK4880886</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK15240657</subfield></datafield></record></collection> |
| id | DE-604.BV002265864 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:03Z |
| institution | BVB |
| isbn | 0387905332 3540905332 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001488967 |
| oclc_num | 6917570 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-19 DE-BY-UBM DE-29T DE-83 DE-188 DE-706 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-19 DE-BY-UBM DE-29T DE-83 DE-188 DE-706 |
| physical | XI, 177 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Davenport, Harold Verfasser aut Multiplicative number theory 2. ed. rev. by Hugh L. Montgomery New York [u.a.] Springer 1980 XI, 177 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 74 Nombres premiers Nombres premiers ram Nombres, Théorie des Nombres, théorie des ram Number theory Numbers, Prime Multiplikative Zahlentheorie (DE-588)4040699-4 gnd rswk-swf Primzahl (DE-588)4047263-2 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Primzahl (DE-588)4047263-2 s DE-604 Multiplikative Zahlentheorie (DE-588)4040699-4 s Zahlentheorie (DE-588)4067277-3 s Montgomery, Hugh L. 1944- Sonstige (DE-588)172262968 oth Graduate texts in mathematics 74 (DE-604)BV000000067 74 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Davenport, Harold Multiplicative number theory Graduate texts in mathematics Nombres premiers Nombres premiers ram Nombres, Théorie des Nombres, théorie des ram Number theory Numbers, Prime Multiplikative Zahlentheorie (DE-588)4040699-4 gnd Primzahl (DE-588)4047263-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4040699-4 (DE-588)4047263-2 (DE-588)4067277-3 |
| title | Multiplicative number theory |
| title_auth | Multiplicative number theory |
| title_exact_search | Multiplicative number theory |
| title_full | Multiplicative number theory |
| title_fullStr | Multiplicative number theory |
| title_full_unstemmed | Multiplicative number theory |
| title_short | Multiplicative number theory |
| title_sort | multiplicative number theory |
| topic | Nombres premiers Nombres premiers ram Nombres, Théorie des Nombres, théorie des ram Number theory Numbers, Prime Multiplikative Zahlentheorie (DE-588)4040699-4 gnd Primzahl (DE-588)4047263-2 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Nombres premiers Nombres, Théorie des Nombres, théorie des Number theory Numbers, Prime Multiplikative Zahlentheorie Primzahl Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000067 |
| work_keys_str_mv | AT davenportharold multiplicativenumbertheory AT montgomeryhughl multiplicativenumbertheory |