A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

A mathematician has uncovered a way of answering some of algebra's oldest problems. University of New South Wales Honorary Professor Norman Wildberger, has revealed a potentially game-changing ...

We prove that if $f(x)=\sum _{k=0}^{n-1}a_{k}x^{k}$ is a polynomial with no cyclotomic factors whose coefficients satisfy $a_{k}$ ≡ 1 mod 2 for 0 ≤ k < n, then ...

This is a preview. Log in through your library . Abstract We extend the famous diophantine Frobenius problem to a ring of polynomials over a field 𝑘. Similar to the classical problem we show that the ...

Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...