Add to ORKGThis paper is a survey of what is known about the magnitude of coeffi-cients appearing in linear relations between roots of unity. The special case of the cyclotomic polynomial is considered in section l; section 2 is devoted to more general relations. Various open problems will be indicated
On explicit relations between cyclotomic numbers by Marc Conrad (Saarbrücken) 1. Introduction. For ...
AbstractLet ƒ(x) ∈ K[x] be a polynomial and x1,..., xn its roots. By assuming conditions on the Galo...
Includes bibliographical references (pages 64-67)The nth cyclotomic polynomial Phi_n(x)is the mini...
The paper gives new bpunds for the length of linear relations among roots of unit
Vanishing sums of roots of unity can be seen as a natural generalization of knapsack from Boolean va...
AbstractLet ζn denote a primitive nth root of unity, n ≥ 4. For any integer k, 2 ≤ k ≤ n − 2 it is s...
Three theorems are given for approximate determination of magnitudes of polynomial roots. A definiti...
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic rec...
Two additional new theorems are posed and proven to estimate the magnitudes of roots of polynomials....
The cyclotomic polynomials n for n = 1, 2, 3,... (familiar to every student of alge-bra) are the min...
In this note, we discuss a particular family of binomial sums, which can be calculated using simple ...
The factors of polynomials of the form x^n-1, called cyclotomic polynomials, have various properties...
: Given a polynomial f 2 k[x], k a number field, we consider bounds on the number of cyclotomic fact...
Cyclotomy is the process of dividing a circle into equal parts, which is precisely the effect obtain...
AbstractLet x1,…, xn be the roots of an irreducible equation of degree n over Q. Under what conditio...
On explicit relations between cyclotomic numbers by Marc Conrad (Saarbrücken) 1. Introduction. For ...
AbstractLet ƒ(x) ∈ K[x] be a polynomial and x1,..., xn its roots. By assuming conditions on the Galo...
Includes bibliographical references (pages 64-67)The nth cyclotomic polynomial Phi_n(x)is the mini...
The paper gives new bpunds for the length of linear relations among roots of unit
Vanishing sums of roots of unity can be seen as a natural generalization of knapsack from Boolean va...
AbstractLet ζn denote a primitive nth root of unity, n ≥ 4. For any integer k, 2 ≤ k ≤ n − 2 it is s...
Three theorems are given for approximate determination of magnitudes of polynomial roots. A definiti...
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic rec...
Two additional new theorems are posed and proven to estimate the magnitudes of roots of polynomials....
The cyclotomic polynomials n for n = 1, 2, 3,... (familiar to every student of alge-bra) are the min...
In this note, we discuss a particular family of binomial sums, which can be calculated using simple ...
The factors of polynomials of the form x^n-1, called cyclotomic polynomials, have various properties...
: Given a polynomial f 2 k[x], k a number field, we consider bounds on the number of cyclotomic fact...
Cyclotomy is the process of dividing a circle into equal parts, which is precisely the effect obtain...
AbstractLet x1,…, xn be the roots of an irreducible equation of degree n over Q. Under what conditio...
On explicit relations between cyclotomic numbers by Marc Conrad (Saarbrücken) 1. Introduction. For ...
AbstractLet ƒ(x) ∈ K[x] be a polynomial and x1,..., xn its roots. By assuming conditions on the Galo...
Includes bibliographical references (pages 64-67)The nth cyclotomic polynomial Phi_n(x)is the mini...