On Some Properties of Two Simultaneous Polygonal Sequences

Abstract

This paper focuses on the properties of integers that are simultaneously representable as both m-gonal and n-gonal numbers. Employing hyperbolic geometry, we ascertain both lower and upper bounds on these numbers when there is a finite set of these integers. We then consider the fundamental class of solutions to a generalized Pell-Diophantine equation that… (More)

2 Figures and Tables

Topics

  • Presentations referencing similar topics