The arithmetic of squareful numbers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zs.fassung in dt. Sprache |
| Beschreibung: | 68 S. |
Internformat
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Datensatz im Suchindex
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| 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 |
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| 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 |
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| indexdate | 2024-08-16T01:03:38Z |
| institution | BVB |
| language | English |
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| 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 |
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