Results 1 to 10 of about 124 (123)

On perfect powers in $k$-generalized Pell sequence [PDF]

open access: yesMathematica Bohemica, 2023
Let $k\geq2$ and let $(P_n^{(k)})_{n\geq2-k}$ be the $k$-generalized Pell sequence defined by \begin{equation*} P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots+P_{n-k}^{(k)} \end{equation*}for $n\geq2$ with initial conditions \begin{equation*} P_{-(k-2)}^{(
Zafer Şiar   +2 more
doaj   +1 more source

Common values of two k-generalized Pell sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Let k≥2 and let (Pₙ⁽ᵏ⁾)ₙ≥₂₋ₖ be the k-generalized Pell sequence defined by Pₙ⁽ᵏ⁾=2Pₙ₋₁⁽ᵏ⁾+2Pₙ₋₂⁽ᵏ⁾+...+2Pₙ₋ₖ⁽ᵏ⁾ for n≥2 with initial conditions P₋₍ₖ₋₂₎⁽ᵏ⁾=P₋₍ₖ₋₃₎⁽ᵏ⁾=...=P₋₁⁽ᵏ⁾=P₀⁽ᵏ⁾=0, and P₁⁽ᵏ⁾=1.
Zafer Şiar   +2 more
doaj   +1 more source

Exo-beta-glucanases in yeast. [PDF]

open access: yesBiochem J, 1968
Abd-el-Al AT, Phaff HJ.
europepmc   +1 more source

Upper bound for the height of S-integral points on elliptic curves [PDF]

open access: yes, 2013
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set $S$ of places of the number field K involved,but also in terms of the degree of K, as well as the rank, the ...
Surroca, Andrea   +3 more
core   +1 more source

On the practical solution of the Thue equation [PDF]

open access: yes, 1989
This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation ...
Weger, de, B.M.M.   +6 more
core   +1 more source

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