Approximation diophantienne des nombres algébriques:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Paris
Secrétariat mathématique
1961
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| Series: | Mathématiques approfondies
1960/61 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 60 Bl. |
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Record in the Search Index
| _version_ | 1804120472674107392 |
|---|---|
| adam_text | APPROXIMATIONS DIOPHANTIENNES DES NOMBRES ALGÉBRIQUES
par Gérard RAUZY
TABLE DES MATIERES
Pages
Introduction 3
Chapitre I
Approximation des nombres réels,
1. Le théorème âe Dàriohlet 3
2. Le théorème de Khintchine. 6
3« Quelques problèmes, d approximation. 7
Chapitre II
Théorème de Thue Siegel,
1. Généralités •••• •«••«*# 12
2. Lemmes préliminaires »•»•«*«?*#* 14
3. Théorèmô de Ihue Si»gel. « • •••«•*•«»«« 18
Chapitre III
Théorème de Roth^
1. Notations. •26
2. Partie (A) de la démonstration* •27
3. Partie (B) de la démonstration 29
4. Forme précise des parties (A) et (B) : indices, .. ...|||.. 31
5. Partie (C) de la démonstration. ....... ..f.«tr *«t« 37
ét Démonstration du théorème de Roth. •••««•«•!« 46
Chapitre IV
Cas P adique . Applications,
1. Une conséquence du théorème de Roth 47
2. Généralisation P adique du théorème de Roth 50
3. Application à la répartition modulo 1 des puissances, des nombres
rationnels, »«»•»««• 57
Bibliographie. • • • • • • 59
|
| any_adam_object | 1 |
| author | Rauzy, Gérard |
| author_facet | Rauzy, Gérard |
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| dewey-full | 512.74 |
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| dewey-ones | 512 - Algebra |
| dewey-raw | 512.74 |
| dewey-search | 512.74 |
| dewey-sort | 3512.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006258247 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:42:38Z |
| institution | BVB |
| language | French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003952882 |
| oclc_num | 1431190 |
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| physical | 60 Bl. |
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| publishDate | 1961 |
| publishDateSearch | 1961 |
| publishDateSort | 1961 |
| publisher | Secrétariat mathématique |
| record_format | marc |
| series | Mathématiques approfondies |
| series2 | Mathématiques approfondies |
| spelling | Rauzy, Gérard Verfasser aut Approximation diophantienne des nombres algébriques par Gérard Rauzy Paris Secrétariat mathématique 1961 60 Bl. txt rdacontent n rdamedia nc rdacarrier Mathématiques approfondies 1960/61 Diophantine analysis Algebraische Zahl (DE-588)4141847-5 gnd rswk-swf Diophantische Approximation (DE-588)4135760-7 gnd rswk-swf Diophantische Approximation (DE-588)4135760-7 s Algebraische Zahl (DE-588)4141847-5 s DE-604 Mathématiques approfondies 1960/61 (DE-604)BV002787153 1960/61 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003952882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rauzy, Gérard Approximation diophantienne des nombres algébriques Mathématiques approfondies Diophantine analysis Algebraische Zahl (DE-588)4141847-5 gnd Diophantische Approximation (DE-588)4135760-7 gnd |
| subject_GND | (DE-588)4141847-5 (DE-588)4135760-7 |
| title | Approximation diophantienne des nombres algébriques |
| title_auth | Approximation diophantienne des nombres algébriques |
| title_exact_search | Approximation diophantienne des nombres algébriques |
| title_full | Approximation diophantienne des nombres algébriques par Gérard Rauzy |
| title_fullStr | Approximation diophantienne des nombres algébriques par Gérard Rauzy |
| title_full_unstemmed | Approximation diophantienne des nombres algébriques par Gérard Rauzy |
| title_short | Approximation diophantienne des nombres algébriques |
| title_sort | approximation diophantienne des nombres algebriques |
| topic | Diophantine analysis Algebraische Zahl (DE-588)4141847-5 gnd Diophantische Approximation (DE-588)4135760-7 gnd |
| topic_facet | Diophantine analysis Algebraische Zahl Diophantische Approximation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003952882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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