2 citations · 2 across the 5 of their papers we have counts for
6 papers
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…
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.
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…
On Structure of Octonion Regular Functions
Janne Kauhanen, Heikki Orelma
In this paper we study octonion regular functions and the structural differences between regular functions in octonion, quaternion, and Clifford analyses.
Hypermonogenic solutions and plane waves of the Dirac operator in Rp x Rq
Alí Guzmán Adán, Heikki Orelma, Franciscus Sommen
In this paper we first define hypermonogenic solutions of the Dirac operator in Rp x Rq and study some basic properties, e.g., obtaining a Cauchy integral formula in the unit hemis…
Cauchy-Riemann Operators in Octonionic Analysis
Janne Kauhanen, Heikki Orelma
In this paper we first recall the definition of an octonion algebra and its algebraic properties. We derive the so called -calculus and using it we obtain the list of generali…