Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence and ...

Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 60(108), No. 1 (2017), pp. 19-24 (6 pages) We investigate the properties of positive definite binary ...

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 ...

The set of solutions to a diophantine equation is strongly influenced by the geometry of the associated algebraic variety. This paradigm, for example, suggests that an elementary proof of Fermat’s ...

Many people find complex math puzzling, including some mathematicians. Recently, a mathematician has found solutions to a puzzle that has been around for centuries. They have found a way to generate ...

MATH30200 Number Theory, and MATH33300 Group Theory are recommended but not necessary. Integers and rational numbers are the first numbers we encounter, and as such they are, in a way the easiest ...

This is a preview. Log in through your library . Abstract In this paper, we present a new technique for determining all perfect powers in so-called Pell sequences. To be precise, given a positive ...

MATH30200 Number Theory, and MATH33300 Group Theory are recommended but not necessary. Integers and rational numbers are the first numbers we encounter, and as such they are, in a way the easiest ...