Height of a polynomial

A positive integer k is a length of a polynomial if that polynomial factors into a product of k irreducible polynomials. We find… Expand

Define B.n/ to be the largest height of a polynomial in ZTxU dividing x n 1. We formulate a number of conjectures related to the… Expand

 

 

l(P ) = inf L(PG), l̂(P ) = min{l(P ), l(P ∗)}, where G runs through all monic polynomials in C[x]. This notation is consistent… Expand

Abstract Let F ( z ) ∈ R [ z ] be a polynomial with positive leading coefficient, and let α > 1 be an algebraic number. For r… Expand

Let N*(m) be the minimal length of a polynomial with ±1 coefficients divisible by (x-1) m . Byrnes noted that N*(m) < 2 m for… Expand

It is shown that the methods established in [HKN3] can be effectively used to study polynomial cycles in certain rings. We shall… Expand

Abstract Sufficient and necessary conditions for the arc length of a polynomial parametric curve to be an algebraic function of… Expand

Syntactical graphs are representations of derivations of arbitrary grammars. The height of syntactical graphs is introduced here… Expand