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We define several types of pseudoprimes with respect to Lucas sequences and prove the analogs of various theorems about ordinary pseudoprimes. For example, we show that Lucas pseudoprimes are rare and we count the Lucas sequences modulonwith respect to whichnis a Lucas pseudoprime.
Baillie, Robert +1 more
openaire +2 more sources
On the intersections of Fibonacci, Pell, and Lucas numbers [PDF]
We describe how to compute the intersection of two Lucas sequences of the forms $\{U_n(P,\pm 1) \}_{n=0}^{\infty}$ or $\{V_n(P,\pm 1) \}_{n=0}^{\infty}$ with $P\in\mathbb{Z}$ that includes sequences of Fibonacci, Pell, Lucas, and Lucas-Pell numbers.
Bilu +13 more
core +2 more sources
The quaternionic Gauss-Lucas Theorem [PDF]
The classic Gauss-Lucas Theorem for complex polynomials of degree $d\ge2$ has a natural reformulation over quaternions, obtained via rotation around the real axis. We prove that such a reformulation is true only for $d=2$.
Ghiloni, Riccardo, Perotti, Alessandro
core +3 more sources
Lucas vs. Lucas: On Inequality and Growth [PDF]
Lucas (2004) asserts that "Of the tendencies that are harmful to sound economics, the most seductive, and in my opinion the most poisonous, is to focus on questions of distribution... The potential for improving the lives of poor people by finding different ways of distributing current production is nothing compared to the apparently limitless ...
Juan Carlos Cordoba, Genevieve Verdier
openaire +3 more sources
Orchard meadows are appreciated as an integrated land use of high cultural and biological value. While such meadows are typical habitats for temperate Europe, they experienced a decline in their total area during the second half of the 20th century, both
Forejt Michal, Syrbe Ralf-Uwe
doaj +1 more source
“Como vuestro Padre es misericordioso”. La misericordia en el evangelio de Lucas
El artículo nos presenta, en el marco del Jubileo extraordinario convocado por el Papa Francisco, un recorrido por la perspectiva lucana de la misericordia tal y como aparece en el tercer evangelio. Lucas, conocido como el evangelista de la misericordia,
Pedro Cabello Morales
doaj +1 more source
Nasal and Nasopharyngeal Rosai-Dorfman Disease
Teaching Point: Nasal and nasopharyngeal Rosai-Dorfman disease is a rare cause of nasal obstruction.
Kelly Di Dier +2 more
doaj +1 more source
Primitive divisors of Lucas and Lehmer sequences [PDF]
Stewart reduced the problem of determining all Lucas and Lehmer sequences whose $n$-th element does not have a primitive divisor to solving certain Thue equations.
Par Paul M Voutier, Paul M. Voutier
core +8 more sources
Lucas Graceful Labeling for Some Graphs [PDF]
By a graph, we mean a finite undirected graph without loops or multiple ...
Nagarajan, A. +2 more
core +1 more source
The Potential of Open Geodata for Automated Large-Scale Land Use and Land Cover Classification
This study examines the potential of open geodata sets and multitemporal Landsat satellite data as the basis for the automated generation of land use and land cover (LU/LC) information at large scales.
Patrick Leinenkugel +4 more
doaj +1 more source

