Results 1 to 10 of about 314 (171)

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

Pre-service Teachers\u27 Knowledge: Analysis of teachers\u27 education situation based on TPACK [PDF]

open access: yes, 2022
This paper identifies the knowledge that emerges from collaborative situations, in an initial teachers’ education with integration of digital technology for teaching of function, in a blended and collaborative modality course, aiming to emerge ...
Araújo Filho, Roberto   +1 more
core   +2 more sources

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

Entropy of eigenfunctions [PDF]

open access: yes, 2007
We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and ...
Anantharaman, Nalini   +2 more
core   +4 more sources

Power values of sums of products of consecutive integers [PDF]

open access: yes, 2016
. We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the terms in the product considered is at most ten ...
Hajdu, Lajos   +2 more
core   +2 more sources

On a certain family of quartic Thue equations with three parameters [PDF]

open access: yes, 2006
We consider the parameterized Thue equation X4 - 4sX3Y - (2ab + 4(a + b)s)X2Y2 - 4absXY3 + a2b2Y4 = ± 1, with a, b ∈ 1/4 Z such that ab ∈ Z. By the hypergeometric method and a method of Tzanakis we find all solutions, if s is large with respect to |a|
Volker Ziegler
core   +3 more sources

Tubular approaches to Baker's method for curves and varieties

open access: yes, 2019
Baker'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.
Fourn, Samuel Le
core   +2 more sources

On the Non-negative Integer Solutions to Diophantine Equations $F_n - F_m = 7^a$ and $F_n - F_m = 13^a$

open access: yes, 2023
In this paper, we study the solutions of the equation $F_n-F_m=p^a$ where $p$ is either $7$ or $13$ and $n>m\geqslant 0$, $a\geqslant 2$. We confirm the conjecture of Erduvan and Keskin by proving that there is no solutions for this Diophantine equation.
Anouar, Gaha, Soufiane, Mezroui
core  

Environment - Mediated Changes in the Chemical Composition and Physiology of Aspergillus Nidulans [PDF]

open access: yes, 2023
A study was made of the chemical composition of Aspergillus nidulans strain 13 mel in glucose limited chemostat culture under varying conditions of growth rate (D = 0.02 h to 0.175 h ), temperature (22°C to 50°C), pH (3*1 to 7-9) and NaCl concentration ...
McGetrick, Ann M. T.
core   +1 more source

1914 July, West Tennessee State Normal School bulletin [PDF]

open access: yes, 2022
Vol. 3, No. 2 of the West Tennessee State Normal School bulletin featuring the catalogue for 1913-14, 1914 July.https://digitalcommons.memphis.edu/speccoll-ua-pub-bulletins/1007/thumbnail ...

core   +1 more source

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