We investigate here the representability of integers as sums of triangular numbers, where the n-th triangular number is given by Tn = n(n+1)/2. In particular, we show ...

The most important theorem we learnt in childhood carries the name of a Greek philosopher, but not necessarily the legacy.

Let (H, R) be a triangular Hopf algebra and let V be a finite-dimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized ...

World Bank economist Kaushik Basu has proved that when it comes to right triangles, a² + b² = c². World Bank economist Kaushik Basu has proved that when it comes to right triangles, a² + b² = c². This ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Pascal’s triangle is a never-ending equilateral triangle of numbers that follow a rule of adding ...