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

Msieve is the result of my efforts to understand and optimize how integers are factored using the most powerful modern algorithms. This documentation corresponds to version 1.54 of the Msieve library.

Abstract: The book consists of three parts. Part 1 focuses on vectors and their manipulation. Vector algebra, linear functions, linearization, inner products, norms, linear independence, the concept ...