Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics) 1st Edition by Lidl (PDF)

Description

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.

User’s Reviews

Editorial Reviews: About the Author R. Lidl is currently Dean of Science and Technology of the University of Tasmania.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

Keywords

Free Download Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics) 1st Edition in PDF format
Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics) 1st Edition PDF Free Download
Download Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics) 1st Edition 2091 PDF Free
Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics) 1st Edition 2091 PDF Free Download
Download Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics) 1st Edition PDF
Free Download Ebook Dickson Polynomials (Monographs and Surveys in Pure and Applied Mathematics) 1st Edition