The paper gives new bpunds for the length of linear relations among roots of unit
AbstractLet ζn denote a primitive nth root of unity, n ≥ 4. For any integer k, 2 ≤ k ≤ n − 2 it is s...
AbstractUsing a variant of the Vandermonde convolution, a recurrence relation is derived for arithme...
Throughout the paper, for any positive integer k, k will denote a primitive k'th root of unity....
The paper gives new bpunds for the length of linear relations among roots of unit
This paper is a survey of what is known about the magnitude of coeffi-cients appearing in linear rel...
In this note, we discuss a particular family of binomial sums, which can be calculated using simple ...
In this article, one of the main sections of algebra and number theory is written about methods of f...
Vanishing sums of roots of unity can be seen as a natural generalization of knapsack from Boolean va...
A series all of whose coefficients have unit modulus is called an Hadamard square root of unity. We ...
In the following document I share a particular way to simplify the root of a sum as the sum of roots...
The expected number of real roots of a multihomogeneous system of polynomial equation
Roots of unity play a basic role in the theory of algebraic extensions of fields and rings. The aim ...
RootsOfUnity.nb offers some solutions to x6 -1=0 and then graphs and labels the complex roots of uni...
The paper improves a previous lower bound of Schinzel for the number of terms of a power of a polyno...
If an open interval $I$ contains a $k$-fold root $\alpha$ of a real polynomial~$f$, then, after tran...
AbstractLet ζn denote a primitive nth root of unity, n ≥ 4. For any integer k, 2 ≤ k ≤ n − 2 it is s...
AbstractUsing a variant of the Vandermonde convolution, a recurrence relation is derived for arithme...
Throughout the paper, for any positive integer k, k will denote a primitive k'th root of unity....
The paper gives new bpunds for the length of linear relations among roots of unit
This paper is a survey of what is known about the magnitude of coeffi-cients appearing in linear rel...
In this note, we discuss a particular family of binomial sums, which can be calculated using simple ...
In this article, one of the main sections of algebra and number theory is written about methods of f...
Vanishing sums of roots of unity can be seen as a natural generalization of knapsack from Boolean va...
A series all of whose coefficients have unit modulus is called an Hadamard square root of unity. We ...
In the following document I share a particular way to simplify the root of a sum as the sum of roots...
The expected number of real roots of a multihomogeneous system of polynomial equation
Roots of unity play a basic role in the theory of algebraic extensions of fields and rings. The aim ...
RootsOfUnity.nb offers some solutions to x6 -1=0 and then graphs and labels the complex roots of uni...
The paper improves a previous lower bound of Schinzel for the number of terms of a power of a polyno...
If an open interval $I$ contains a $k$-fold root $\alpha$ of a real polynomial~$f$, then, after tran...
AbstractLet ζn denote a primitive nth root of unity, n ≥ 4. For any integer k, 2 ≤ k ≤ n − 2 it is s...
AbstractUsing a variant of the Vandermonde convolution, a recurrence relation is derived for arithme...
Throughout the paper, for any positive integer k, k will denote a primitive k'th root of unity....