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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

Tubular approaches to Baker’s method for curves and varieties [PDF]

open access: yes, 2020
International audienceBaker's method, relying on estimates on linear forms in logarithms of algebraic numbers, allows one to prove in several situations the effective finiteness of integral points on varieties.
Le Fourn, Samuel
core   +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

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