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.

Write code to find the roots of arbitrary polynomials. The coefficients of the polynomial should be stored in an List (Java or Python), or an Integer array (C). The coefficients should be user ...

The generalization of the logarithm and exponential functions proposed by Tsallis in 1988 has brought contributions in several areas in the last decades. Recently, we introduced a deformed exponential ...

We present an elementary topological proof that the roots of a polynomial vary continuously as a function of the coefficients. This monthly journal, begun in 1950, is devoted entirely to research in ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...

Over the centuries, mathematicians have developed a variety of methods of solving equations. Using the capabilities of modern computers, they have explored in detail how these age-old recipes ...