Results 61 to 70 of about 427,829 (170)
Waring's problem in the natural numbers with binary expansions of a special type [PDF]
arXiv, 2012 Let $\mathbb{N}_0$ be a class of natural numbers whose binary expansions contain even numbers of ones. Waring problem in numbers of class $\mathbb{N}_0$ is solved.
arxiv
On the distance between perfect numbers [PDF]
arXiv, 2012 It is shown that there exist infinitely many triangular numbers (congruent to 3 mod 12) which cannot be the distance between two perfect numbers.
arxiv
Pell Numbers whose Euler Function is a Pell Number [PDF]
arXiv, 2015 In this paper, we show that the only Pell numbers whose Euler function is also a Pell number are $1$ and $2$.
arxiv
Enumerating number fields [PDF]
arXiv, 2019 We construct small models of number fields and deduce a better bound for the number of number fields of given degree and bounded discriminant.
arxiv
On q-deformed Stirling numbers [PDF]
International Journal of Mathematics and Computations 17 (2) 2012, 2007 The purpose of this article is to introduce q-deformed Stirling numbers of the first and second kinds. Relations between these numbers, Riemann zeta function and q-Bernoulli numbers of higher order are given. Some relations related to the classical Stirling numbers and Bernoulli numbers of higher order are found.
arxiv
Number of Compositions and Convolved Fibonacci numbers [PDF]
arXiv, 2010 We consider two type of upper Hessenberg matrices which determinants are Fibonacci numbers. Calculating sums of principal minors of the fixed order of the first type leads us to convolved Fibonacci numbers. Some identities for these and for Fibonacci numbers are proved.
arxiv
Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers [PDF]
arXiv, 2017 Recently, the Cauchy-Carlitz number was defined as the counterpart of the Bernoulli-Carlitz number. Both numbers can be expressed explicitly in terms of so-called Stirling-Carlitz numbers. In this paper, we study the second analogue of Stirling-Carlitz numbers and give some general formulae, including Bernoulli and Cauchy numbers in formal power series
arxiv
Investigation of Generalized Hybrid Fibonacci Numbers and Their Properties [PDF]
arXiv, 2018 In \cite{Oz}, M. \"Ozdemir defined a new non-commutative number system called hybrid numbers. In this paper, we define the hybrid Fibonacci and Lucas numbers. This number system can be accepted as a generalization of the complex ($\textbf{i}^{2}=-1$), hyperbolic ($\textbf{h}^{2}=1$) and dual Fibonacci number ($\varepsilon^{2}=0$) systems.
arxiv
A note on k-tridiagonal matrices with the balancing and Lucas-balancing numbers
, 2015 In this note, we consider one type of k-tridiagonal matrix family whose permanents and determinants are specified to the balancing and Lucas-balancing numbers. Moreover, we provide some properties between Chebyshev polynomial properties and the given number sequences.
Yilmaz, Fatih, Kirklar, Emrullah
openaire +2 more sources
Generalized Balancing and Balancing-Lucas numbers
, 2022 Hasan Al-Zoubi, Ala’a Al-Kateeb
openalex +2 more sources