Algebraic factorization and semigroup theory form a cornerstone of contemporary abstract algebra, investigating how elements within algebraic structures decompose into irreducible components, or atoms ...

This paper discusses some new integer factoring methods involving cyclotomic polynomials. There are several polynomials $f(X)$ known to have the following property ...

We show that the binary expansions of algebraic numbers do not form secure pseudorandom sequences; given sufficiently many initial bits of an algebraic number, its minimal polynomial can be ...