3 papers
math.NT2026
The Local Four-Square Problem over \(\mathbb{Z}_{p^k}\)
Heikki Orelma
The norm map \(N:\mathcal{H}_{\mathbb{Z}_{p^k}}\to \mathbb{Z}_{p^k}\) is studied on the quaternion ring over \(\mathbb{Z}_{p^k}\), where \(p\) is an odd prime and an integ…
math.CV2026
Towards a Function Theory of Complexified Octonions
Rolf Sören Krausshar, Heikki Orelma
In this article we study devlop some fundaments for a function theory in the 16-dimensional complexified octonions.
math.CV2025
Three-dimensional analogues of the Blasius-Chaplygin formulas
Dmitrii Legatiuk, Heikki Orelma
The classical Blasius--Chaplygin formula provides an elegant method for calculating the lift force on a two-dimensional body in steady, irrotational flow. The key ingredient is the…