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The Proof of a Conjecture on the Density of Sets Related to Divisibility Properties of z(n)
Mathematics, 2021 Let (Fn)n be the sequence of Fibonacci numbers. The order of appearance (in the Fibonacci sequence) of a positive integer n is defined as z(n)=min{k≥1:n∣Fk}.
Eva Trojovská, Venkatachalam Kandasamy
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Arithmetical Functions Associated with the k-ary Divisors of an Integer
International Journal of Mathematics and Mathematical Sciences, 2018 The k-ary divisibility relations are a class of recursively defined relations beginning with standard divisibility and culminating in the so-called infinitary divisibility relation.
Joseph Vade Burnett +4 more
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On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos
Modern Stochastics: Theory and Applications, 2020 Infinite divisibility of a class of two-dimensional vectors with components in the second Wiener chaos is studied. Necessary and sufficient conditions for infinite divisibility are presented as well as more easily verifiable sufficient conditions.
Andreas Basse-O’Connor +2 more
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One more time about the relation between morphemic analysis and word-formation analysis [PDF]
Južnoslovenski Filolog, 2019 One of the basic criteria when it comes to describing the surface structure of the derivative lexical units is distinguishing morphemic and word-formation analysis.
Baltova Yuliya M.
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On the 2-adic order of Stirling numbers of the second kind and their differences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $n$ and $k$ be positive integers, $d(k)$ and $\nu_2(k)$ denote the number of ones in the binary representation of $k$ and the highest power of two dividing $k$, respectively.
Tamás Lengyel
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Explicit formulas for the $p$-adic valuations of Fibonomial coefficients II
AIMS Mathematics, 2020 In this article, we give explicit formulas for the $p$-adic valuations of the Fibonomial coefficients $\binom{p^a n}{n}_F$ for all primes $p$ and positive integers $a$ and $n$.
Phakhinkon Phunphayap +1 more
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Time: Avicenna, Aristotle; Two Perspectives or One? [PDF]
حکمت و فلسفه, 2012 The concept of time, its existence, ontology, and epistemology are considered as a pivotal philosophical issue from the ancient Greek time up to now. Aristotle explicitly deals with this subject. His notion of time can be also seen in Avicenna’s writings.
zohreh abd khodai +1 more
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On Two Problems Related to Divisibility Properties of z(n)
Mathematics, 2021 The order of appearance (in the Fibonacci sequence) function z:Z≥1→Z≥1 is an arithmetic function defined for a positive integer n as z(n)=min{k≥1:Fk≡0(modn)}. A topic of great interest is to study the Diophantine properties of this function. In 1992, Sun
Pavel Trojovský
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Permutations preserving divisibility [PDF]
, 2001 We give a proof of a theorem on the common divisibility of polynomials and permuted polynomials (over GF(2)) by a polynomial g(x)
Le Dantec, Claude +2 more
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Leibniz on Corporeal Substance [PDF]
Acta Baltica Historiae et Philosophiae Scientiarum, 2016 As an idealist, Gottfried Wilhelm Leibniz could not recognize anything corporeal as substantial. However, under the influence of Cartesian terminology, he devoted considerable effort to analysing the corporeal world, while not recognizing its real ...
Peeter Müürsepp
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