6 citations · 12 across the 9 of their papers we have counts for
10 papers
The index and its prime divisors
Maciej P. Wojtkowski
We propose a new interpretation of the classical index of appearance for second order linear recursive sequences. It stems from the formula \[ C_{n}(t)-2 =\fracΔ{Q^{n}}\ L_n^2,\ \…
On Sequence Groups
Zbigniew Lipinski, Maciej P. Wojtkowski
Linear second order recursive sequences with arbitrary initial conditions are studied. For sequences with the same parameters a ring and a group is attached, and isomorphisms and h…
Gaussian vectors with Markov property
Maciej P. Wojtkowski
We demonstrate the parallel between the properties of Gaussian vectors and the Euclidean geometry. In particular we study the Markov property and give various equivalent Euclidean…
Partitions of primes by Chebyshev polynomials
Maciej P. Wojtkowski
Partitions of the set of primes are introduced based on the Chebyshev polynomials at rationals. The prime densities of all such partitions are established. Euler's Criterion for $S…
Homogeneous Weyl connections of non-positive curvature
Gabriela Tereszkiewicz, Maciej P. Wojtkowski
We study homogenous Weyl connections with non-positive sectional curvatures. The Cartesian product carries canonical families of Weyl connections with such a…
Integrability via Reversibility
Maciej P. Wojtkowski
A class of left-invariant second order reversible systems with functional parameter is introduced which exhibits the phenomenon of robust integrability: an open and dense subset of…