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]

open access: yesEmerg Infect Dis
Aguilar-Bultet L   +12 more
europepmc   +1 more source

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]

open access: yesTransbound Emerg Dis
de Campos BH   +25 more
europepmc   +1 more source

On Primes in Lucas Sequences

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.
openaire   +2 more sources

Palindromes in Lucas Sequences

Monatshefte f�r Mathematik, 2003
Say 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.
openaire   +2 more sources

CONGRUENCES CONCERNING LUCAS SEQUENCES

International Journal of Number Theory, 2014
Let 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).
openaire   +1 more source

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