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Number Theory and Polynomials /

Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: McKee, James, Smyth, Chris
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2008.
Colección:Cambridge books online.
London Mathematical Society lecture note series ; no. 352.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • The trace problem for totally positive algebraic integers / Julian Aguirre and Juan Carlos Peral ; Appendix / Jean-Pierre Serre
  • Mahler's measure: from Number theory to geometry / Marie Jose Bertin
  • Explicit calculation of elliptic fibrations of K3-surfaces and their Belyi-maps / Frits Beukers and Hans Montanus
  • The merit factor problem / Peter Borwein, Ron Ferguson and Joshua Knauer
  • Barker sequences and flat polynomials / Peter Borwein and Michael Mossinghoff
  • The Hansen-Mullen primitivity conjecture: completion of proof / Stephen Cohen and Mateja Presern
  • An inequality for the multiplicity of the roots of a polynomial / Arturas Dubickas
  • Newman's inequality for in creasing exponential sums / Tamas Erdelyi
  • On primitive divisors of n2 + b / Graham Everest and Glyn Harman.
  • Irreducibility and greatest common divisor algorithms for sparse polynomials / Michael Filaseta, Andrew Granville and Andrzej Schinzel
  • Consequences of the continuity of the monic integer transfinite diameter / Jan Hilmar
  • Nonlinear recurrence sequences and Laurent polynomials / Andrew Hone
  • Conjugate algebraic numbers on conics : a survey / James McKee
  • On polynomial ergodic averages and square functions / Radhakrishnan Nair
  • Polynomial inequalities, Mahler's measure, and multipliers / Igor E. Pritsket
  • Integer transfinite diameter and computation of polynomials / Georges Rhin and Qiang Wu
  • Smooth divisors of polynomials / Eira Scourfield
  • Self-inversive polynomials with all zeros on the unit circle / Christopher Sinclair and Jeffrey Vaaler
  • The Mahler measure of algebraic numbers: a survey / Chris Smyth.