Results 11 to 20 of about 92,871 (258)
Наука и техника, 2022 . Many important questions in the theory of elasticity lead to a variational problem associated with a biharmonic equation and to the corresponding boundary value problems for such an equation.
I. N. Meleshko, P. G. Lasy
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Linear forms in two logarithms and Schneider's method. II [PDF]
Acta Arithmetica, 1989 Verf. verfeinern ihre in [Acta Arith. 53, No.3, 251-287 (1989; Zbl 0642.10034)] erhaltene untere Abschätzung für \(| b_ 1 \log \alpha_ 1-b_ 2 \log \alpha_ 2| \neq 0\) bei algebraischen \(\alpha_ j\neq 0\) und ganzrationalen \(b_ j\). Dazu kombinieren sie ihre a.a.O. entwickelte Methode mit einer Technik, die sie bereits in [Math. Ann.
Mignotte, Maurice, Waldschmidt, Michel
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Extremal families of cubic Thue equations [PDF]
, 2014 We exactly determine the integral solutions to a previously untreated infinite family of cubic Thue equations of the form $F(x,y)=1$ with at least $5$ such solutions.
Bennett, Michael A., Ghadermarzi, Amir
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Larger Corner-Free Sets from Better NOF Exactly-$N$ Protocols
Discrete Analysis, 2021 Larger corner-free sets from better NOF exactly-$N$ protocols, Discrete Analysis 2021:19, 9 pp. If $G$ is an Abelian group, then a _corner_ in $G^2$ is a subset of the form $\{(x,y),(x+d,y),(x,y+d)\}$ with $d\ne 0$.
Nati Linial, Adi Shraibman
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On repdigits as product of $k$-Fibonacci and $k$-Lucas numbers [PDF]
Mathematica BohemicaFor an integer $k\geq2$, let $(F_n^{(k)})_{n\geq-(k-2)}$, $(L_n^{(k)})_{n \geq-(k-2)}$ be $k$-Fibonacci and $k$-Lucas sequences, respectively. For these sequences the first $k$ terms are $0,\ldots,0,1$ and $0,\ldots,0,2,1$, respectively, and each term ...
Safia Seffah +2 more
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On $k$-Pell numbers which are sum of two Narayana's cows numbers [PDF]
Mathematica BohemicaFor any positive integer $k\geq2$, let $(P_n^{(k)})_{n\geq2-k}$ be the $k$-generalized Pell sequence which starts with $0,\cdots,0,1$ ($k$ terms) with the linear recurrence P_n^{(k)} = 2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots+P_{n-k}^{(k)}\quad\text{for} n\
Kouèssi Norbert Adédji +2 more
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On Terms of Generalized Fibonacci Sequences which are Powers of their Indexes
Mathematics, 2019 The k-generalized Fibonacci sequence ( F n ( k ) ) n (sometimes also called k-bonacci or k-step Fibonacci sequence), with k ≥ 2 , is defined by the values 0 , 0 , … , 0 , 1 of starting k its terms and such way ...
Pavel Trojovský
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A kit for linear forms in three logarithms
Mathematics of Computation, 2023 We provide a technique to obtain explicit bounds for problems that can be reduced to linear forms in three complex logarithms of algebraic numbers. This technique can produce bounds significantly better than general results on lower bounds for linear forms in logarithms.
Mignotte, Maurice, Voutier, Paul
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Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms [PDF]
, 2007 We develop a theory of Tannakian Galois groups for t-motives and relate this to the theory of Frobenius semilinear difference equations. We show that the transcendence degree of the period matrix associated to a given t-motive is equal to the dimension ...
A. Tamagawa +31 more
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Quenched Chiral Perturbation Theory for Heavy-light Mesons [PDF]
, 1995 We formulate quenched chiral perturbation theory for heavy-light mesons coupled to pions, and calculate the one-loop chiral logarithmic corrections to $f_B$, $f_{B_{s}}$, $B_B$ and $B_{B_{s}}$. We also calculate these corrections for ``partially quenched'
A. Morel +15 more
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