Cyclotomy and difference sets:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Chicago
Markham
1967
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Schriftenreihe: | Lectures in advanced mathematics
2 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 134 S. Ill. |
Internformat
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650 | 4 | |a Combinatorial analysis | |
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650 | 4 | |a Difference sets | |
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Datensatz im Suchindex
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adam_text | CONTENTS
Preface v
INTRODUCTION 1
1 The Problem of Cyclotomy 1
2 Finite Difference Sets 13
PART 1 CYCLOTOMY AND DIFFERENCE SETS IN
GF(p ) 24
1 The Elementary Theory 24
2 The case e = 2 30
3 The Classical Approach and the Case e = 3 32
4 Extension of the Theory 36
5 The Case e = 4 47
6 Uniqueness of Representations 56
7 Further Extension of the Theory 62
8 The Case e = 6 65
9 A Family of Difference Sets Arising from the Case e = 6 73
I 0 The Case e = 8 76
I1 Impossibility of a 1 for e = 4,6, 8 82
PART 2 CYCLOTOMY AND DIFFERENCE SETS IN
GD(pV) = GF(p )0GF(^) 84
1 The Elementary Theory 84
2 Classes of Generators 91
3 The Case e = 2 94
4 Extension of the Theory 96
5 The Case e = 4:1 100
6 The Cyclotomic Numbers (0,0) Associated with the Classes of
Generators 102
7 The Case e = 4:11 108
8 The Case e = 6 114
9 The Case e = 8 120
10 Concluding Remarks 123
SPECIAL SYMBOLS 129
REFERENCES 131
INDEX 133
vii
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indexdate | 2024-07-09T18:29:03Z |
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language | English |
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physical | 134 S. Ill. |
publishDate | 1967 |
publishDateSearch | 1967 |
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publisher | Markham |
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series | Lectures in advanced mathematics |
series2 | Lectures in advanced mathematics |
spelling | Storer, Thomas Verfasser aut Cyclotomy and difference sets Thomas Storer Chicago Markham 1967 134 S. Ill. txt rdacontent n rdamedia nc rdacarrier Lectures in advanced mathematics 2 Analyse combinatoire Cyclotomie Ensembles, Théorie des Combinatorial analysis Cyclotomy Difference sets Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s DE-604 Gruppe Mathematik (DE-588)4022379-6 s Lectures in advanced mathematics 2 (DE-604)BV004174449 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008501385&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Storer, Thomas Cyclotomy and difference sets Lectures in advanced mathematics Analyse combinatoire Cyclotomie Ensembles, Théorie des Combinatorial analysis Cyclotomy Difference sets Zahlentheorie (DE-588)4067277-3 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
subject_GND | (DE-588)4067277-3 (DE-588)4022379-6 |
title | Cyclotomy and difference sets |
title_auth | Cyclotomy and difference sets |
title_exact_search | Cyclotomy and difference sets |
title_full | Cyclotomy and difference sets Thomas Storer |
title_fullStr | Cyclotomy and difference sets Thomas Storer |
title_full_unstemmed | Cyclotomy and difference sets Thomas Storer |
title_short | Cyclotomy and difference sets |
title_sort | cyclotomy and difference sets |
topic | Analyse combinatoire Cyclotomie Ensembles, Théorie des Combinatorial analysis Cyclotomy Difference sets Zahlentheorie (DE-588)4067277-3 gnd Gruppe Mathematik (DE-588)4022379-6 gnd |
topic_facet | Analyse combinatoire Cyclotomie Ensembles, Théorie des Combinatorial analysis Cyclotomy Difference sets Zahlentheorie Gruppe Mathematik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008501385&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV004174449 |
work_keys_str_mv | AT storerthomas cyclotomyanddifferencesets |