6 citations · 12 across the 9 of their papers we have counts for
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math.NT2024
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,\ \…
math.NT2021
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…
math.NT2018★ 1 cited
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…