Volume 16 ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4
The integer structure of the difference of two odd integers raised to an even power
Original research paper. Pages 1–4
J. V. Leyendekkers and A. Shannon
Full paper (PDF, 148 Kb) | Abstract
Using the modular ring Z4, it is shown that the row structures of xn − yn, x, y odd, n = 2m, are incompatible with the row structures of zn. Even though some structures are close, the right-end-digits (REDs) are quite distinct. The analysis shows how the effort to find counter-examples for such theorems may be drastically reduced.
On ψ-function and two 2-Fibonacci sequences
Original research paper. Pages 5–48
Krassimir Atanassov and Dimitar Dimitrov
Full paper (PDF, 260 Kb) | Abstract
It is shown that the two essential 2-Fibonacci sequences have bases with respect to function ψ with length 24 and their extensions have bases with respect to function ψ with length 216.
