Results 281 to 290 of about 255,151 (329)
Genetic Cluster of Extended-Spectrum β-lactamase-Producing Klebsiella pneumoniae in Humans and Food, Switzerland, 2018-2019. [PDF]
Aguilar-Bultet L +12 more
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Integrative rock physics and computer vision analysis of elastic properties and pore aspect ratios in Brazilian pre-salt carbonates. [PDF]
Quadros PSM +6 more
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ON THE GENERIC COMPLEXITY OF THE DISCRETE LOGARITHM PROBLEM IN LUCAS SEQUENCES
Alexander Rybalov
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Lethal Canine Distemper Virus (<i>Morbillivirus canis</i>) Outbreak in Free-Ranging Black-Tufted Marmosets (<i>Callithrix penicillata</i>) in Brazil: Clinical, Pathological, Genotypical Evaluation, and Assessment of Viral Tropism. [PDF]
de Campos BH +25 more
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Development of visible light-sensitive human OPN5 via single amino acid substitution
Sakai Y, McDowell RJ, Lucas RJ.
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The Fibonacci Quarterly, 2015
Consider the Lucas sequence u(a, b) = (un(a, b)) and the companion Lucas sequence v(a, b) = (vn(a, b)) which both satisfy the second order recursion relation wn+2 = awn+1 − bwn with initial terms u0 = 0, u1 = 1, and v0 = 2, v1 = a, respectively. We give both necessary and sufficient tests and also necessary tests for the primality of |un| and |vn|. For
Křížek, M. (Michal), Somer, L.
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Consider the Lucas sequence u(a, b) = (un(a, b)) and the companion Lucas sequence v(a, b) = (vn(a, b)) which both satisfy the second order recursion relation wn+2 = awn+1 − bwn with initial terms u0 = 0, u1 = 1, and v0 = 2, v1 = a, respectively. We give both necessary and sufficient tests and also necessary tests for the primality of |un| and |vn|. For
Křížek, M. (Michal), Somer, L.
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Palindromes in Lucas Sequences
Monatshefte f�r Mathematik, 2003Say that \(\{w_n\}\) is a Lucas sequence if \(w_{n+2}= rw_{n+1}+sw_n\) where \(s\neq 0\) and \(r^2+4s\neq 0\). An integer is called a palindrome to base \(b\) if the base \(b\) representation of the integer is left unchanged when the digits are reversed. Let \(P(x)\) denote the number of integers \(n\leq x\) such that \(w_n\) is a base \(b\) palindrome.
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CONGRUENCES CONCERNING LUCAS SEQUENCES
International Journal of Number Theory, 2014Let p be a prime greater than 3. In this paper, by using expansions and congruences for Lucas sequences and the theory of cubic residues and cubic congruences, we establish some congruences for [Formula: see text] and [Formula: see text] modulo p, where [x] is the greatest integer not exceeding x, and m is a rational p-adic integer with m ≢ 0 ( mod p).
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