Analytic number theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon
Springer
1998
|
| Schriftenreihe: | Graduate texts in mathematics
177 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011792422 | ||
| 003 | DE-604 | ||
| 005 | 19980618 | ||
| 007 | t | ||
| 008 | 980217s1998 gw |||| 00||| ger d | ||
| 016 | 7 | |a 952830043 |2 DE-101 | |
| 020 | |a 0387983082 |c Pp. : DM 59.00 |9 0-387-98308-2 | ||
| 035 | |a (OCoLC)246648953 | ||
| 035 | |a (DE-599)BVBBV011792422 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-739 |a DE-20 |a DE-824 |a DE-706 |a DE-521 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA241.N48 1998 | |
| 082 | 0 | |a 512/.73 21 | |
| 082 | 0 | |a 512.73 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a 11Pxx |2 msc | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Newman, Donald J. |d 1930-2007 |e Verfasser |0 (DE-588)14254664X |4 aut | |
| 245 | 1 | 0 | |a Analytic number theory |c Donald J. Newman |
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon |b Springer |c 1998 | |
| 300 | |a VIII, 76 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate texts in mathematics |v 177 | |
| 650 | 4 | |a Number theory | |
| 650 | 0 | 7 | |a Analytische Zahlentheorie |0 (DE-588)4001870-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Analytische Zahlentheorie |0 (DE-588)4001870-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Graduate texts in mathematics |v 177 |w (DE-604)BV000000067 |9 177 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007960778&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007960778 | ||
Datensatz im Suchindex
| _version_ | 1804126336608894976 |
|---|---|
| adam_text | DONALD J. NEWMAN
ANALYTIC NUMBER THEORY
SPRINGER
CONTENTS
INTRODUCTION AND DEDICATION VII
I. THE IDEA OF ANALYTIC NUMBER THEORY 1
ADDITION PROBLEMS 1
CHANGE MAKING 2
CRAZY DICE 5
CAN
R{N)
BE CONSTANT? 8
A SPLITTING PROBLEM 8
AN IDENTITY OF EULER S 11
MARKS ON A RULER 12
DISSECTION INTO ARITHMETIC PROGRESSIONS 14
II. THE PARTITION FUNCTION 17
THE GENERATING FUNCTION 18
THE APPROXIMATION 19
RIEMANN SUMS 20
THE COEFFICIENTS OF
Q
(N) 25
III. THE ERDOS-FUCHS THEOREM 31
ERDOS-FUCHS THEOREM 35
IV. SEQUENCES WITHOUT ARITHMETIC PROGRESSIONS 41
THE BASIC APPROXIMATION LEMMA 42
VI CONTENTS
V. THE WARING PROBLEM 49
VI. A NATURAL PROOF OF THE NONVANISHING OF L-SERIES 59
VII. SIMPLE ANALYTIC PROOF OF THE PRIME NUMBER
THEOREM 65
FIRST PROOF OF THE PRIME NUMBER THEOREM. 68
SECOND PROOF OF THE PRIME NUMBER THEOREM. 70
INDEX 75
|
| any_adam_object | 1 |
| author | Newman, Donald J. 1930-2007 |
| author_GND | (DE-588)14254664X |
| author_facet | Newman, Donald J. 1930-2007 |
| author_role | aut |
| author_sort | Newman, Donald J. 1930-2007 |
| author_variant | d j n dj djn |
| building | Verbundindex |
| bvnumber | BV011792422 |
| callnumber-first | Q - Science |
| callnumber-label | QA241 |
| callnumber-raw | QA241.N48 1998 |
| callnumber-search | QA241.N48 1998 |
| callnumber-sort | QA 3241 N48 41998 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)246648953 (DE-599)BVBBV011792422 |
| dewey-full | 512/.7321 512.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.73 21 512.73 |
| dewey-search | 512/.73 21 512.73 |
| dewey-sort | 3512 273 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01634nam a2200433 cb4500</leader><controlfield tag="001">BV011792422</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19980618 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">980217s1998 gw |||| 00||| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">952830043</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387983082</subfield><subfield code="c">Pp. : DM 59.00</subfield><subfield code="9">0-387-98308-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246648953</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011792422</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">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA241.N48 1998</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.73 21</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.73</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">11Pxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">27</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Newman, Donald J.</subfield><subfield code="d">1930-2007</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)14254664X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analytic number theory</subfield><subfield code="c">Donald J. Newman</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon</subfield><subfield code="b">Springer</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 76 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">177</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analytische Zahlentheorie</subfield><subfield code="0">(DE-588)4001870-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Analytische Zahlentheorie</subfield><subfield code="0">(DE-588)4001870-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">177</subfield><subfield code="w">(DE-604)BV000000067</subfield><subfield code="9">177</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=007960778&sequence=000001&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:BVB01-007960778</subfield></datafield></record></collection> |
| id | DE-604.BV011792422 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:15:50Z |
| institution | BVB |
| isbn | 0387983082 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007960778 |
| oclc_num | 246648953 |
| open_access_boolean | |
| owner | DE-739 DE-20 DE-824 DE-706 DE-521 DE-83 DE-11 DE-188 |
| owner_facet | DE-739 DE-20 DE-824 DE-706 DE-521 DE-83 DE-11 DE-188 |
| physical | VIII, 76 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Newman, Donald J. 1930-2007 Verfasser (DE-588)14254664X aut Analytic number theory Donald J. Newman New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kon Springer 1998 VIII, 76 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 177 Number theory Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf Analytische Zahlentheorie (DE-588)4001870-2 s DE-604 Graduate texts in mathematics 177 (DE-604)BV000000067 177 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007960778&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Newman, Donald J. 1930-2007 Analytic number theory Graduate texts in mathematics Number theory Analytische Zahlentheorie (DE-588)4001870-2 gnd |
| subject_GND | (DE-588)4001870-2 |
| title | Analytic number theory |
| title_auth | Analytic number theory |
| title_exact_search | Analytic number theory |
| title_full | Analytic number theory Donald J. Newman |
| title_fullStr | Analytic number theory Donald J. Newman |
| title_full_unstemmed | Analytic number theory Donald J. Newman |
| title_short | Analytic number theory |
| title_sort | analytic number theory |
| topic | Number theory Analytische Zahlentheorie (DE-588)4001870-2 gnd |
| topic_facet | Number theory Analytische Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007960778&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000067 |
| work_keys_str_mv | AT newmandonaldj analyticnumbertheory |