Results 1 to 10 of about 1,921 (86)
Tubular approaches to Baker's method for curves and varieties [PDF]
, 2018 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.
Samuel Le Fourn
semanticscholar +4 more sources
On perfect powers in $k$-generalized Pell sequence [PDF]
Mathematica 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]
, 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
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, 2022 First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients.
Alan Baker, D. Masser
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İki Lucas Sayısının Birleşimi Olan Mulatu Sayıları
Afyon Kocatepe University Journal of Sciences and Engineering, 2023 In this paper, we find that all Mulatu numbers, which are concatenations of two Lucas numbers are 11,17,73,118. Let 〖(M_k)〗_(k≥0) and 〖(L_k)〗_(k≥0) be the Mulatu and Lucas sequences.
F. Erduvan
semanticscholar +1 more source
Common values of two k-generalized Pell sequences [PDF]
Notes on Number Theory and Discrete MathematicsLet 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
Power values of sums of products of consecutive integers [PDF]
, 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
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Entropy of eigenfunctions [PDF]
, 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
On a certain family of quartic Thue equations with three parameters [PDF]
, 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
Upper bounds for the height of S-integral points on elliptic curves [PDF]
The Ramanujan journal, 2012 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 ...
V. Bosser, Andrea Surroca
semanticscholar +1 more source