Displaying similar documents to “Reducibility and irreducibility of Stern ( 0 , 1 ) -polynomials”

On three questions concerning 0 , 1 -polynomials

Michael Filaseta, Carrie Finch, Charles Nicol (2006)

Journal de Théorie des Nombres de Bordeaux

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We answer three reducibility (or irreducibility) questions for 0 , 1 -polynomials, those polynomials which have every coefficient either 0 or 1 . The first concerns whether a naturally occurring sequence of reducible polynomials is finite. The second is whether every nonempty finite subset of an infinite set of positive integers can be the set of positive exponents of a reducible 0 , 1 -polynomial. The third is the analogous question for exponents of irreducible 0 , 1 -polynomials.

Parametrization of integral values of polynomials

Giulio Peruginelli (2010)

Actes des rencontres du CIRM

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We will recall a recent result about the classification of those polynomial in one variable with rational coefficients whose image over the integer is equal to the image of an integer coefficients polynomial in possibly many variables. These set is polynomially generated over the integers by a family of polynomials whose denominator is 2 and they have a symmetry with respect to a particular axis. We will also give a description of the linear factors of the bivariate separated...