Gauss sums and p-adic division algebras:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer-Verl.
1983
|
| Schriftenreihe: | Lecture notes in mathematics
987 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 186 S. |
| ISBN: | 0387122907 3540122907 |
Internformat
MARC
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| 100 | 1 | |a Bushnell, Colin J. |d 1947- |e Verfasser |0 (DE-588)110483413 |4 aut | |
| 245 | 1 | 0 | |a Gauss sums and p-adic division algebras |c Colin J. Bushnell ; Albrecht Fröhlich |
| 264 | 1 | |a Berlin [u.a.] |b Springer-Verl. |c 1983 | |
| 300 | |a XI, 186 S. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 987 | |
| 650 | 4 | |a Algèbre à division | |
| 650 | 4 | |a Gauss, Sommes de | |
| 650 | 4 | |a Division algebras | |
| 650 | 4 | |a Gaussian sums | |
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| 650 | 0 | 7 | |a p-adische Divisionsalgebra |0 (DE-588)4173062-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804114673975427072 |
|---|---|
| adam_text | CONTENTS
Introduction III
Contents IX
§1 Arithmetic of local division algebras 1
1.1 1
1.2 2
1.3 6
§2 Introduction to Gauss sums 8
2.1 8
2.2 11
2.3 16
2.1+ 20
2.5 23
2.6 29
§3 Functional equation 34
3.1 34
3.2 36
§U One dimensional representations 42
U.I 42
§5 The basic correspondence 53
5.1 54
5.2 57
5.3 60
5.U 66
5.5 67
§6 The basic inductive step 68
6.1 68
6.2 70
6.3 72
6.4 75
6.5 77
§7 The general inductive process 87
7.1 87
7.2 90
§8 Representations of certain group extensions 99
8.1 99
8.2 1Oi
8.3 107
8.1* 109
8.5 112
8.6 115
8.7 119
§9 Trace computations 122
9.1 122
9.2 124
9.3 126
9.k 129
9 5 132
9.6 134
9.7 137
9.8 142
9.9 145
§10 Induction constants for Galois Gauss sums 146
10.1 146
§11 Synthesis of results 156
11.1 156
11.2 157
11.3 158
§12 Modified correspondences 166
12.1 166
12.2 173
References 183
Terminology 185
Frequently used notations 187
|
| any_adam_object | 1 |
| author | Bushnell, Colin J. 1947- Fröhlich, Albrecht 1916-2001 |
| author_GND | (DE-588)110483413 (DE-588)124101852 |
| author_facet | Bushnell, Colin J. 1947- Fröhlich, Albrecht 1916-2001 |
| author_role | aut aut |
| author_sort | Bushnell, Colin J. 1947- |
| author_variant | c j b cj cjb a f af |
| building | Verbundindex |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 160f MAT 106f |
| ctrlnum | (OCoLC)9488696 (DE-599)BVBBV000211727 |
| dewey-full | 510 512/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.74 |
| dewey-search | 510 512/.74 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000211727 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:28Z |
| institution | BVB |
| isbn | 0387122907 3540122907 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000125187 |
| oclc_num | 9488696 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-83 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-83 |
| physical | XI, 186 S. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Springer-Verl. |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Bushnell, Colin J. 1947- Verfasser (DE-588)110483413 aut Gauss sums and p-adic division algebras Colin J. Bushnell ; Albrecht Fröhlich Berlin [u.a.] Springer-Verl. 1983 XI, 186 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 987 Algèbre à division Gauss, Sommes de Division algebras Gaussian sums Gauß-Summe (DE-588)4156109-0 gnd rswk-swf Divisionsalgebra (DE-588)4138776-4 gnd rswk-swf p-adische Divisionsalgebra (DE-588)4173062-8 gnd rswk-swf Gauß-Summe (DE-588)4156109-0 s p-adische Divisionsalgebra (DE-588)4173062-8 s DE-604 Divisionsalgebra (DE-588)4138776-4 s Fröhlich, Albrecht 1916-2001 Verfasser (DE-588)124101852 aut Lecture notes in mathematics 987 (DE-604)BV000676446 987 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000125187&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bushnell, Colin J. 1947- Fröhlich, Albrecht 1916-2001 Gauss sums and p-adic division algebras Lecture notes in mathematics Algèbre à division Gauss, Sommes de Division algebras Gaussian sums Gauß-Summe (DE-588)4156109-0 gnd Divisionsalgebra (DE-588)4138776-4 gnd p-adische Divisionsalgebra (DE-588)4173062-8 gnd |
| subject_GND | (DE-588)4156109-0 (DE-588)4138776-4 (DE-588)4173062-8 |
| title | Gauss sums and p-adic division algebras |
| title_auth | Gauss sums and p-adic division algebras |
| title_exact_search | Gauss sums and p-adic division algebras |
| title_full | Gauss sums and p-adic division algebras Colin J. Bushnell ; Albrecht Fröhlich |
| title_fullStr | Gauss sums and p-adic division algebras Colin J. Bushnell ; Albrecht Fröhlich |
| title_full_unstemmed | Gauss sums and p-adic division algebras Colin J. Bushnell ; Albrecht Fröhlich |
| title_short | Gauss sums and p-adic division algebras |
| title_sort | gauss sums and p adic division algebras |
| topic | Algèbre à division Gauss, Sommes de Division algebras Gaussian sums Gauß-Summe (DE-588)4156109-0 gnd Divisionsalgebra (DE-588)4138776-4 gnd p-adische Divisionsalgebra (DE-588)4173062-8 gnd |
| topic_facet | Algèbre à division Gauss, Sommes de Division algebras Gaussian sums Gauß-Summe Divisionsalgebra p-adische Divisionsalgebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000125187&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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