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Synopsis
Dickson polynomials are closely related with Chebyshev polynomials. They have a variety of algebraic and number theoretic properties and satisfy simple second-order linear differentuation equations and linear recurrences. For suitable parameters they form a commutative sermgroup under composition. Dickson polynominals are of fundamental importance in the theory of permutation polynomials and related topics. In particular they serve as examples of integral polynomials which induce permutations for infinitely many primes. According to 'Schur's conjecture' there are essentially no other examples. Dickson polynonuaLs are also important in cryptology and for pseudoprimality testing. The book provides a comprehensive up-to-date collection of results concerning Dickson polynomials and presents several applications. It also treats generalizations to polynomials in several variables and related rational function like Redei functions. Each of the seven chapters includes exercises and notes. Tables of Dickson polynonuals are given in the Appendix. For most parts of the texi only the basic theory of groups, rings and fields is required. The proof of 'Schur's Conjecture' is largely self-contained but is based on more advanced results like an estimate for the number of rational points on an absolutely irreducible curve over a finite field. Two important theorems on primitive permutation groups are supplied with complete proofs. The book may serves as a reference text for graduate students or reserachers interested in algebraic or number theoretic aspects of polynomials and for cryptologists.
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About the Author
R. Lidl is currently Dean of Science and Technology of the University of Tasmania.
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- PublisherChapman and Hall/CRC
- Publication date1993
- ISBN 10 0582091195
- ISBN 13 9780582091191
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages216
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Dickson Polynomials (CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS)
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 216 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 41711071/202
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Dickson Polynomials
Published by
Longman Scientific Publishing, 1993
ISBN 10: 0582091195
ISBN 13: 9780582091191
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Hardcover
Seller: Salish Sea Books, Bellingham, WA, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Good; Hardcover; Withdrawn library copy with the standard library markings; Clean covers with minor edgewear; Library stamps to the endpapers; Text pages are clean & unmarked; Good binding; This book will be stored and delivered in a sturdy cardboard box with foam padding; Medium Format (8.5" - 9.75" tall); Burgundy cloth covers with title in gold lettering along the spine; 1993, Longman Scientific Publishing; 207 pages; "Dickson Polynomials," by Rudolf Lidl, et al. Seller Inventory # SKU-744AA00406180
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Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics)
Published by
Longman Scientific Publishing, 1993
ISBN 10: 0582091195
ISBN 13: 9780582091191
Used
Hardcover
Seller: Salish Sea Books, Bellingham, WA, U.S.A.
Seller rating 5 out of 5 stars
Condition: Good. Good; Hardcover, No Jacket; Withdrawn library copy with the standard library markings; Moderate wear to the covers; Library stamps to the endpapers; Text pages are clean & unmarked; Good binding; This book will be stored and delivered in a sturdy cardboard box with foam padding; Medium Format (8.5" - 9.75" tall); Burgundy cloth covers with title in gold lettering along the spine; 1993, Longman Scientific Publishing; 207 pages; "Dickson Polynomials," by Rudolf Lidl, et al. Seller Inventory # SKU-U84GA13103199
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Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics)
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hardcover. Condition: Very Good. Very Good. book. Seller Inventory # D7S9-1-M-0582091195-3
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