Small solutions of quadratic diophantine equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2001
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Stuttgart, Univ., Diss., 2000 |
| Beschreibung: | 56 S. |
Internformat
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Datensatz im Suchindex
| _version_ | 1807229173179088896 |
|---|---|
| adam_text |
CONTENTS
1
DEUTSCHE
ZUSAMMENFASSUNG
7
2
INTRODUCTION
10
2.1
SEARCH
BOUNDS
FOR
QUADRATIC
DIOPHANTINE
EQUATIONS
.
10
2.2
NOTATION
.
11
2.3
REMOVAL
OF
THE
LINEAR
TERMS
.
13
3
ANALYTIC
METHODS
16
3.1
INTRODUCTION
.
16
3.2
THE
CIRCLE
METHOD
APPROACH
.
18
3.3
ESTIMATION
OF
SOME
INTEGRALS
.
20
3.4
BOUNDS
FOR
EXPONENTIAL
SUMS
.
23
3.5
DERIVATION
OF
THE
ASYMPTOTIC
FORMULA
.
25
3.6
ESTIMATION
OF
THE
SINGULAR
SERIES
.
29
4
CASSELS
'
S
LEMMA
WITH
CONGRUENCE
CONDITIONS
35
4.1
THE
SINGULAR
TERNARY
CASE
.
35
4.2
PRELIMINARY
LEMMATA
.
37
4.3
PROOF
OF
PROPOSITION
3
.
38
5
THE
TERNARY
CASE
45
5.1
EQUIVALENCE
OF
QUADRATIC
FORMS
.
45
5.2
PRELIMINARY
MATRIX
LEMMATA
.
45
5.3
APPROXIMATION
OF
AUTOMORPHS
.
50
5.4
PROOF
OF
THEOREM
4
.
51
5.5
THE
LAST
MISSING
CASE
OF
PROPOSITION
1
.
53
REFERENCES
55 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-13T00:14:05Z |
| institution | BVB |
| language | English |
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| physical | 56 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| spelling | Dietmann-Sopp, Rainer 1972- Verfasser (DE-588)123066743 aut Small solutions of quadratic diophantine equations vorgelegt von Rainer Dietmann 2001 56 S. txt rdacontent n rdamedia nc rdacarrier Stuttgart, Univ., Diss., 2000 Diophantische Gleichung gtt Hochschulschrift gtt Ganzzahlige Lösung (DE-588)4128780-0 gnd rswk-swf Diophantische Gleichung (DE-588)4012386-8 gnd rswk-swf Quadratische Form (DE-588)4128297-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Diophantische Gleichung (DE-588)4012386-8 s Quadratische Form (DE-588)4128297-8 s Ganzzahlige Lösung (DE-588)4128780-0 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009454982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dietmann-Sopp, Rainer 1972- Small solutions of quadratic diophantine equations Diophantische Gleichung gtt Hochschulschrift gtt Ganzzahlige Lösung (DE-588)4128780-0 gnd Diophantische Gleichung (DE-588)4012386-8 gnd Quadratische Form (DE-588)4128297-8 gnd |
| subject_GND | (DE-588)4128780-0 (DE-588)4012386-8 (DE-588)4128297-8 (DE-588)4113937-9 |
| title | Small solutions of quadratic diophantine equations |
| title_auth | Small solutions of quadratic diophantine equations |
| title_exact_search | Small solutions of quadratic diophantine equations |
| title_full | Small solutions of quadratic diophantine equations vorgelegt von Rainer Dietmann |
| title_fullStr | Small solutions of quadratic diophantine equations vorgelegt von Rainer Dietmann |
| title_full_unstemmed | Small solutions of quadratic diophantine equations vorgelegt von Rainer Dietmann |
| title_short | Small solutions of quadratic diophantine equations |
| title_sort | small solutions of quadratic diophantine equations |
| topic | Diophantische Gleichung gtt Hochschulschrift gtt Ganzzahlige Lösung (DE-588)4128780-0 gnd Diophantische Gleichung (DE-588)4012386-8 gnd Quadratische Form (DE-588)4128297-8 gnd |
| topic_facet | Diophantische Gleichung Hochschulschrift Ganzzahlige Lösung Quadratische Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009454982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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