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Dickson polynomials:

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Bibliographische Detailangaben
Beteiligte Personen:	Lidl, Rudolf 1948- (VerfasserIn), Mullen, Gary L. 1947- (VerfasserIn), Turnwald, Gerhard (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Harlow Longman Scientific & Technical 1993
Ausgabe:	1. publ.
Schriftenreihe:	Pitman monographs and surveys in pure and applied mathematics 65
Schlagwörter:	Dickson, polynômes de corps fini polynôme Dickson Dickson polynomials Dickson-Polynom
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006296183&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 186 - 199
Umfang:	207 S.
ISBN:	0582091195

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents PREFACE CHAPTER 1. Algebraic Foundations 1 1. Polynomials 1 2. Finite Fields 3 3. The Ring of Integers mod m 4 4. Galois Rings 5 Exercises Notes 7 CHAPTER 2. Basic Properties of Dickson Polynomials 8 1. Definition of Dickson Polynomials 8 2. Algebraic Properties 10 3. Analytic and Arithmetic Properties 15 4. Several Indeterminates 17 5. Other Related Polynomials and Functions 22 Exercises Notes 34 CHAPTER 3. Finite Fields 38 1. Permutations 38 2. Factorization of Dn(x, a) 45 3. Value Sets 48 4. Fixed Points 54 5. Several Indeterminates 60 Exercises 73 Notes 75 CHAPTER 4. Integers mod m 79 1. Dickson Permutations 79 2. Fixed Points 88 3. Several Indeterminates 94 4. Redei Functions 99 Exercises 102 Contents Notes 103 CHAPTER 5. Other Rings 105 1. Galois Rings 105 2. Infinite Algebraic Extensions of Finite Fields 116 3. Matrix Rings 118 Exercises 121 Notes 122 CHAPTER 6. The Schur Conjecture and its Converse 124 1. Prerequisites 124 2. Primitive Permutation Groups 125 3. The Galois Group of f(x) t over K{t) 128 4. Schur s Conjecture 131 5. Some Algebraic Number Theory 136 6. The Converse Problem 139 7. A Quantitative Refinement 146 Exercises 149 Notes 151 CHAPTER 7. Applications 155 1. Cryptology 155 2. Pseudoprimes 162 3. Permutation Polynomials and Complete Mappings 165 4. Dickson Polynomials and Irreducibles 172 5. Optimal Normal Bases 173 6. Character Sums 175 7. Combinatorial Applications 176 8. Circulant Determinants 177 Exercises 178 Notes 180 APPENDIX Tables of Dickson Polynomials 184 BIBLIOGRAPHY 186 LIST OF SYMBOLS 200 AUTHOR INDEX 202 SUBJECT INDEX 205
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id	DE-604.BV009534465
illustrated	Not Illustrated
indexdate	2024-12-20T09:37:53Z
institution	BVB
isbn	0582091195
language	English
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publishDate	1993
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series	Pitman monographs and surveys in pure and applied mathematics
series2	Pitman monographs and surveys in pure and applied mathematics
spellingShingle	Lidl, Rudolf 1948- Mullen, Gary L. 1947- Turnwald, Gerhard Dickson polynomials Pitman monographs and surveys in pure and applied mathematics Dickson, polynômes de ram corps fini inriac polynôme Dickson inriac Dickson polynomials Dickson-Polynom (DE-588)4366976-1 gnd
subject_GND	(DE-588)4366976-1
title	Dickson polynomials
title_auth	Dickson polynomials
title_exact_search	Dickson polynomials
title_full	Dickson polynomials R. Lidl ; G. L. Mullen ; G. Turnwald
title_fullStr	Dickson polynomials R. Lidl ; G. L. Mullen ; G. Turnwald
title_full_unstemmed	Dickson polynomials R. Lidl ; G. L. Mullen ; G. Turnwald
title_short	Dickson polynomials
title_sort	dickson polynomials
topic	Dickson, polynômes de ram corps fini inriac polynôme Dickson inriac Dickson polynomials Dickson-Polynom (DE-588)4366976-1 gnd
topic_facet	Dickson, polynômes de corps fini polynôme Dickson Dickson polynomials Dickson-Polynom
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006296183&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000022446
work_keys_str_mv	AT lidlrudolf dicksonpolynomials AT mullengaryl dicksonpolynomials AT turnwaldgerhard dicksonpolynomials

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