Diophantine equations stand at the interface of algebra, geometry and arithmetic, seeking integer or rational solutions to polynomial equations. Classical problems such as Pythagorean triples and ...

A set of puzzles called Diophantine problems are often simple to state but hard to solve—though progress could have big implications for the future of mathematics Diophantine geometry is the field of ...

In mathematics, no researcher works in true isolation. Even those who work alone use the theorems and methods of their colleagues and predecessors to develop new ideas. But when a known technique is ...

A mathematician from the University of Bristol has found a solution to part of a 64-year old mathematical problem – expressing the number 33 as the sum of three cubes. Since the 1950s, mathematicians ...