Results 1 to 10 of about 8,450 (282)
Ibragimov–Gadjiev operators based on q-integers [PDF]
Advances in Difference Equations, 2018 In this paper, we define the q-analogue of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We study some approximation properties of these new operators, and we show that this sequence of operators is a ...
Serap Herdem, Ibrahim Büyükyazıcı
doaj +3 more sources
Statistics on Lattice Walks and q-Lassalle Numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 This paper contains two results. First, I propose a $q$-generalization of a certain sequence of positive integers, related to Catalan numbers, introduced by Zeilberger, see Lassalle (2010).
Lenny Tevlin
doaj +3 more sources
On p/q-recognisable sets [PDF]
Logical Methods in Computer Science, 2021 Let p/q be a rational number. Numeration in base p/q is defined by a function that evaluates each finite word over A_p={0,1,...,p-1} to some rational number. We let N_p/q denote the image of this evaluation function.
Victor Marsault
doaj +1 more source
Split logarithm problem and a candidate for a post-quantum signature scheme [PDF]
Computer Science Journal of Moldova, 2022 A new form of the hidden discrete logarithm problem, called split logarithm problem, is introduced as primitive of practical post-quantum digital signature schemes, which is characterized in using two non-permutable elements $A$ and $B$ of a finite non-
A.A. Moldovyan, N.A. Moldovyan
doaj +1 more source
On units of some fields of the form $\mathbb{Q}\big(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l}\big)$ [PDF]
Mathematica Bohemica, 2023 Let $p\equiv1\pmod8$ and $q\equiv3\pmod8$ be two prime integers and let $\ell\not\in\{-1, p, q\}$ be a positive odd square-free integer. Assuming that the fundamental unit of $\mathbb{Q}\big(\sqrt{2p}\big) $ has a negative norm, we investigate the unit ...
Mohamed Mahmoud Chems-Eddin
doaj +1 more source
On the solutions of the equation p=x^2+y^2+1 in Lucas sequences
Wasit Journal for Pure Sciences, 2023 In 1970, Motohashi proved that there are an infinite number of primes having the form p=x^2+y^2+1 for some nonzero integers x and y. In this paper, we present a technique for studying the solutions of the equation p=x^2+y^2+1, where the unknowns are ...
Ali Sehen Athab, HAYDER R. HASHIM
doaj +1 more source
Characterization of Upper Detour Monophonic Domination Number
Cubo, 2020 This paper introduces the concept of \textit{upper detour monophonic domination number} of a graph. For a connected graph $G$ with vertex set $V(G)$, a set $M\subseteq V(G)$ is called minimal detour monophonic dominating set, if no proper subset of $M ...
M. Mohammed Abdul Khayyoom
doaj +1 more source
On distribution of the number of semisimple rings of order at most x in an arithmetic progression [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let ℓ and q denote relatively prime positive integers. In this article, we derive the asymptotic formula for the summation Σ_{n≤x, n≡ℓ (mod q)} S(n), where S(n) denotes the number of non-isomorphic finite semisimple rings with n elements.
Thorranin Thansri +2 more
doaj +1 more source
Resonance between the Representation Function and Exponential Functions over Arithemetic Progression
Journal of Mathematics, 2021 Let rn denote the number of representations of a positive integer n as a sum of two squares, i.e., n=x12+x22, where x1 and x2 are integers. We study the behavior of the exponential sum twisted by rn over the arithmetic progressions ∑n∼Xn≡lmodqrneαnβ ...
Li Ma, Xiaofei Yan
doaj +1 more source
A note on type 2 q-Bernoulli and type 2 q-Euler polynomials
Journal of Inequalities and Applications, 2019 As is well known, power sums of consecutive nonnegative integers can be expressed in terms of Bernoulli polynomials. Also, it is well known that alternating power sums of consecutive nonnegative integers can be represented by Euler polynomials.
Dae San Kim +3 more
doaj +1 more source