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Height of a polynomial

Known as: Length (disambiguation), Length of a polynomial, Polynomial height 
In mathematics, the height and length of a polynomial P with complex coefficients are measures of its "size".
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Related topics

Related topics

2 relations
Mahler measurePolynomial

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Sets of lengths of powers of a variable
A positive integer k is a length of a polynomial if that polynomial factors into a product of k irreducible polynomials. We find… 
2015
2015
HOMOGENEOUS REPRESENTATIONS OF TYPE A KLR-ALGEBRAS AND DYCK PATHS
The Khovanov-Lauda-Rouquier (KLR) algebra arose out of attempts to cat- egorify quantum groups. Kleshchev and Ram proved a result… 
2012
2012
Flat Cyclotomic Polynomials: A New Approach
We build a new theory for analyzing the coefficients of any cyclotomic polynomial by considering it as a gcd of simpler… 
2012
2012
Heights of squares of Littlewood polynomials and infinite series
Let P be a unimodular polynomial of degree d−1. Then the height of its square H(P ) is at least √ d/2 and the product L(P )H(P… 
2011
2011
Heights of Divisors of xn – 1
Abstract The height of a polynomial with integer coefficients is the largest coefficient in absolute value. Many papers have been… 
2009
2009
The reduced length of a polynomial with complex or real coefficients (解析的整数論とその周辺--RIMS研究集会報告集)
2009
2009
The reduced length of a polynomial with complex or real coefficients (Analytic Number Theory and Related Areas)
2008
2008
The reduced length of a polynomial with complex coefficients
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… 
Review
2002
Review
2002
Inequalities on polynomial roots
The paper presents a survey of inequalities involving roots of univariate polynomials with complex coefficients. These allow… 
1981
1981
On the Height of Syntactical Graphs
Syntactical graphs are representations of derivations of arbitrary grammars. The height of syntactical graphs is introduced here… 
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