The arithmetic of squareful numbers:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
2002
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zs.fassung in dt. Sprache |
| Physical Description: | 68 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV014810644 | ||
| 003 | DE-604 | ||
| 005 | 20160211 | ||
| 007 | t | ||
| 008 | 021017s2002 m||| 00||| eng d | ||
| 016 | 7 | |a 965394646 |2 DE-101 | |
| 035 | |a (OCoLC)51696835 | ||
| 035 | |a (DE-599)BVBBV014810644 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-739 |a DE-824 |a DE-703 |a DE-634 |a DE-188 | ||
| 084 | |a MAT 103d |2 stub | ||
| 100 | 1 | |a Blomer, Valentin |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The arithmetic of squareful numbers |c vorgelegt von Valentin Blomer |
| 264 | 1 | |c 2002 | |
| 300 | |a 68 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Zs.fassung in dt. Sprache | ||
| 502 | |a Stuttgart, Univ., Diss., 2002 | ||
| 650 | 7 | |a Hochschulschrift |2 gtt | |
| 650 | 0 | 7 | |a Quadratische Form |0 (DE-588)4128297-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Abschätzung |0 (DE-588)4304375-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a L-Reihe |0 (DE-588)4168197-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quadratvolle Zahl |0 (DE-588)4723466-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Schranke |g Mathematik |0 (DE-588)4199965-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Quadratvolle Zahl |0 (DE-588)4723466-0 |D s |
| 689 | 0 | 1 | |a Schranke |g Mathematik |0 (DE-588)4199965-4 |D s |
| 689 | 0 | 2 | |a Abschätzung |0 (DE-588)4304375-6 |D s |
| 689 | 0 | 3 | |a Quadratische Form |0 (DE-588)4128297-8 |D s |
| 689 | 0 | 4 | |a L-Reihe |0 (DE-588)4168197-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 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=010021412&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010021412 | |
Record in the Search Index
| _version_ | 1807504081429725184 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
1
CONTENTS
DEUTSCHE
ZUSAMMENFASSUNG
2
NOTATION
7
1
INTRODUCTION
8
1.1
SQUAREFUL
NUMBERS
.
8
1.2
THE
RESULTS
.
9
1.3
THE
METHODS
.
12
2
TOOLS
I:
BINARY
QUADRATIC
FORMS
AND
L-SERIES
18
2.1
CLASSES
AND
REPRESENTATION
.
18
2.2
CHARACTERS
AND
L-SERIES
.
20
2.3
L-SERIES
AND
REPRESENTATION
.
22
3
USEFUL
ESTIMATIONS
24
3.1
A
THEOREM
OF
SIEGEL-WALFISZ-TYPE
.
24
3.2
THE
INCOMPLETE
GAMMA-FUNCTION
.
27
4
PROOF
OF
THEOREM
4
29
4.1
PREPARATION
FOR
THE
LOWER
BOUND
.
29
4.2
ESTIMATION
OF
THE
NON-DOMINATING
PARTS
.
31
4.3
ESTIMATION
OF
THE
MAIN
INTEGRAL
.
32
4.4
THE
UPPER
BOUND
.
35
5
SUPPLEMENT:
A
RESULT
FROM
COMBINATORIAL
GROUP
THEORY
37
6
SUMS
OF
TWO
SQUAREFUL
INTEGERS
40
7
TOOLS
II:
TERNARY
QUADRATIC
FORMS
AND
MODULAR
FORMS
42
7.1
BASIC
DEFINITIONS
.
42
7.2
CUSP
FORMS
OF
INTEGRAL
AND
HALF-INTEGRAL
WEIGHT
.
45
8
LOCAL
COMPUTATIONS
49
9
FOURIER
COEFFICIENTS
OF
THETA-SERIES
52
9.1
AUXILIARY
LEMMATA
.
52
9.2
PROOF
OF
THEOREM
5
.
56
10
SUMS
OF
THREE
SQUAREFUL
INTEGERS
60
REFERENCES
64 |
| any_adam_object | 1 |
| author | Blomer, Valentin |
| author_facet | Blomer, Valentin |
| author_role | aut |
| author_sort | Blomer, Valentin |
| author_variant | v b vb |
| building | Verbundindex |
| bvnumber | BV014810644 |
| classification_tum | MAT 103d |
| ctrlnum | (OCoLC)51696835 (DE-599)BVBBV014810644 |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV014810644</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160211</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">021017s2002 m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">965394646</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)51696835</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014810644</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 103d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Blomer, Valentin</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The arithmetic of squareful numbers</subfield><subfield code="c">vorgelegt von Valentin Blomer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">68 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="500" ind1=" " ind2=" "><subfield code="a">Zs.fassung in dt. Sprache</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Stuttgart, Univ., Diss., 2002</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hochschulschrift</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quadratische Form</subfield><subfield code="0">(DE-588)4128297-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Abschätzung</subfield><subfield code="0">(DE-588)4304375-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">L-Reihe</subfield><subfield code="0">(DE-588)4168197-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quadratvolle Zahl</subfield><subfield code="0">(DE-588)4723466-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schranke</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4199965-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quadratvolle Zahl</subfield><subfield code="0">(DE-588)4723466-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Schranke</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4199965-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Abschätzung</subfield><subfield code="0">(DE-588)4304375-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Quadratische Form</subfield><subfield code="0">(DE-588)4128297-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">L-Reihe</subfield><subfield code="0">(DE-588)4168197-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</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=010021412&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010021412</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV014810644 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-16T01:03:38Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010021412 |
| oclc_num | 51696835 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-739 DE-824 DE-703 DE-634 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-739 DE-824 DE-703 DE-634 DE-188 |
| physical | 68 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| record_format | marc |
| spelling | Blomer, Valentin Verfasser aut The arithmetic of squareful numbers vorgelegt von Valentin Blomer 2002 68 S. txt rdacontent n rdamedia nc rdacarrier Zs.fassung in dt. Sprache Stuttgart, Univ., Diss., 2002 Hochschulschrift gtt Quadratische Form (DE-588)4128297-8 gnd rswk-swf Abschätzung (DE-588)4304375-6 gnd rswk-swf L-Reihe (DE-588)4168197-6 gnd rswk-swf Quadratvolle Zahl (DE-588)4723466-0 gnd rswk-swf Schranke Mathematik (DE-588)4199965-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quadratvolle Zahl (DE-588)4723466-0 s Schranke Mathematik (DE-588)4199965-4 s Abschätzung (DE-588)4304375-6 s Quadratische Form (DE-588)4128297-8 s L-Reihe (DE-588)4168197-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010021412&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blomer, Valentin The arithmetic of squareful numbers Hochschulschrift gtt Quadratische Form (DE-588)4128297-8 gnd Abschätzung (DE-588)4304375-6 gnd L-Reihe (DE-588)4168197-6 gnd Quadratvolle Zahl (DE-588)4723466-0 gnd Schranke Mathematik (DE-588)4199965-4 gnd |
| subject_GND | (DE-588)4128297-8 (DE-588)4304375-6 (DE-588)4168197-6 (DE-588)4723466-0 (DE-588)4199965-4 (DE-588)4113937-9 |
| title | The arithmetic of squareful numbers |
| title_auth | The arithmetic of squareful numbers |
| title_exact_search | The arithmetic of squareful numbers |
| title_full | The arithmetic of squareful numbers vorgelegt von Valentin Blomer |
| title_fullStr | The arithmetic of squareful numbers vorgelegt von Valentin Blomer |
| title_full_unstemmed | The arithmetic of squareful numbers vorgelegt von Valentin Blomer |
| title_short | The arithmetic of squareful numbers |
| title_sort | the arithmetic of squareful numbers |
| topic | Hochschulschrift gtt Quadratische Form (DE-588)4128297-8 gnd Abschätzung (DE-588)4304375-6 gnd L-Reihe (DE-588)4168197-6 gnd Quadratvolle Zahl (DE-588)4723466-0 gnd Schranke Mathematik (DE-588)4199965-4 gnd |
| topic_facet | Hochschulschrift Quadratische Form Abschätzung L-Reihe Quadratvolle Zahl Schranke Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010021412&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT blomervalentin thearithmeticofsquarefulnumbers |