Articoli correlati a Dickson Polynomials
Sinossi
Dickson polynomials are closely related with Chebyshev polynomials. They have a variety of algebraic and number theoretic properties and satisfy simple second-order linear differential equations and linear recurrences. For suitable parameters they form a commutative semigroup under composition. Dickson polynomials 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 polynomials 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 polynomials are given in the Appendix.
For most parts of the text 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 serve as a reference text for graduate students or researchers interested in algebraic or number theoretic aspects of polynomials and for cryptologists.
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Informazioni sull?autore
R. Lidl is currently Dean of Science and Technology of the University of Tasmania.
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Dickson Polynomials (CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS)
Da: Buchpark, Trebbin, Germania
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 216 | Sprache: Englisch | Produktart: Bücher. Codice articolo 41711071/202
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Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics)
Editore:
Longman Scientific Publishing, 1993
ISBN 10: 0582091195
ISBN 13: 9780582091191
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Rilegato
Da: Salish Sea Books, Bellingham, WA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: 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. Codice articolo SKU-U84GA13103199
Quantità: 1 disponibili