Many areas of active research within the broad field of number theory relate to properties of polynomials, and this volume displays the most recent and most interesting work on this theme. The 2006 Number Theory and Polynomials workshop in Bristol drew together international researchers with a variety of number-theoretic interests, and the book's contents reflect the quality of the meeting. Topics covered include recent work on the Schur-Siegel-Smyth trace problem, Mahler measure and its generalisations, the merit factor problem, Barker sequences, K3-surfaces, self-inversive polynomials, Newman's inequality, algorithms for sparse polynomials, the integer transfinite diameter, divisors of polynomials, non-linear recurrence sequences, polynomial ergodic averages, and the Hansen-Mullen primitivity conjecture. With surveys and expository articles presenting the latest research, this volume is essential for graduates and researchers looking for a snapshot of current progress in polynomials and number theory.
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'... certainly interesting not only for those interested in some selected topic but also for those who like to browse the papers with the aim of extending their knowledge.' EMS Newsletter
Book Description
Containing the latest research, this volume is essential for readers looking for a snapshot of current progress in polynomials and number theory. Contributions by leading experts in the field include recent work on the Schur-Siegel-Smyth trace problem, Mahler measure, the merit factor problem, Barker sequences, and K3-surfaces.
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Tamás Erdélyi, integer transfinite diameter, conjugate reciprocal polynomials, prescribed third coefficient, merit factor values, positive algebraic integers, elliptic divisibility sequences, merit factor problem, maximal obstruction, merit factor sequences, cyclotomic factor, conjugate algebraic integers, cluster algebras, primitive divisor, polyphase sequences, conjugate algebraic numbers, flat polynomials, many integer points, lacunary polynomials, real algebraic integers, autocorrelation binary sequences, permutation triples, greatest prime factor, prescribed coefficient, conjugate sets Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, New York, Acta Arith, Mathematics Subject Classification, Springer Verlag, The Hansen-Mullen, Proof of Theorem, Chris Smyth, Lecture Notes, Peter Borwein, Cambridge University Press, Andrew Hone, Arta Arith, Michael Filaseta, Paris Sér, Rule of Signs, Proof of Corollary, Nombres Bordeaux, Marie José Bertin, Computer Science, Finite Fields Appl, Rodriguez Villegas, Reine Angew, Duke Math, Information Theory Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Surprise Me!
Tamás Erdélyi, integer transfinite diameter, conjugate reciprocal polynomials, prescribed third coefficient, merit factor values, positive algebraic integers, elliptic divisibility sequences, merit factor problem, maximal obstruction, merit factor sequences, cyclotomic factor, conjugate algebraic integers, cluster algebras, primitive divisor, polyphase sequences, conjugate algebraic numbers, flat polynomials, many integer points, lacunary polynomials, real algebraic integers, autocorrelation binary sequences, permutation triples, greatest prime factor, prescribed coefficient, conjugate sets Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, New York, Acta Arith, Mathematics Subject Classification, Springer Verlag, The Hansen-Mullen, Proof of Theorem, Chris Smyth, Lecture Notes, Peter Borwein, Cambridge University Press, Andrew Hone, Arta Arith, Michael Filaseta, Paris Sér, Rule of Signs, Proof of Corollary, Nombres Bordeaux, Marie José Bertin, Computer Science, Finite Fields Appl, Rodriguez Villegas, Reine Angew, Duke Math, Information Theory Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Surprise Me!
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