number theory Archives - Quantum Calculus

The Pentagonal Number Theorem

By oliverknill February 3, 2024 February 5, 2024

Again a little bit of a flashback to my earliest steps in doing mathematical research. The Pentagonal number theorem is one of the most beautiful theorems in number theory. It uses the Pentagonal numbers to get a recursion for the partition function . This can be written as ( typo …

number theory, simplicial complex

Colorful partitions

By oliverknill January 28, 2024 January 28, 2024

My experience from my Schweizer Jugend Forscht adventure was not only invaluable from the scientific point of view, I also met some other young aspiring scientists (here is the book with all the participants (PDF)) which was published in 1983 (when I was already a second year ETH student), and …