In this article we list several algorithms for the factorization of integers, each of which can be either fast or varying levels of slow depending on their input. Notice, if the number that you want ...

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

Abstract: The Corona Factorization Property, originally invented to study extensions of C*-algebras, conveys essential information about the intrinsic structure of the C*-algebra. We show that the ...

Department of Mathematics, Faculté des Sciences et Techniques, Beni Mellal University, P.O. Box 523, Beni Mellal, Morocco Department of Mathematics, Faculté ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Abstract: It is known that the spectral factorization mapping is unbounded in the Wiener algebra, in general. However in applications, the given data are often polynomials. For such finite dimensional ...

The factoring methods are used to implement a fast sumOfDivisors() function. Another prominent subject in this library is prime generation and testing. For example, you can find a port of Kim ...