The degree of a polynomial function is the highest power of the variable in its expression. The degree dictates the maximum ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

In this article we consider matrix factorizations of a polynomial where the two matrices appearing in the factorization are the same, which we call "matrix square roots." The main result is that any ...

This is a preview. Log in through your library . Abstract The general number field sieve (GNFS) is the most efficient algorithm known for factoring large integers. It consists of several stages, the ...