Results 21 to 30 of about 3,124,594 (207)
A note on the alternating sums of powers of consecutive q-integers
Bulletin of the Korean Mathematical Society, 2005 In this paper we construct a new q-Euler numbers and polynomials. By using these numbers and polynomials, we give the interesting formulae related to alternating sums of powers of consecutive q-integers following an idea due to Euler.
S. Rim, Taekyun Kim, Cheon-Seoung Ryoo
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Engel Conditions for Soluble and Pronilpotent Groups [PDF]
Advances in Group Theory and Applications, 2022 Let G be a finitely generated pronilpotent group in which for any elements x, y ∈ G there are positive integers n = n(x, y) and q = q(x, y) such that [x, n y^q] = 1. We show that G is virtually nilpotent.
Pavel Shumyatsky, Wállef da Silva
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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
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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
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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
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On two new identities concerning the q-integers and several divisibility properties for these integers [PDF]
, 2023 In this paper, we first prove two new identities concerning the q-integers and then for these integers we derive several divisibility properties based on these identities and on properties of the q ...
İpek, Ahmet
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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
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A generalization of Szász-Mirakyan operators based on q-integers
Mathematical and computer modelling, 2008 In this paper, we introduce a generalization of Szasz-Mirakyan operators based on q-integers, that we call q-Szasz-Mirakyan operators. Depending on the selection of q, these operators are more flexible than the classical Szasz-Mirakyan operators while ...
A. Aral
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Szasz and Phillips Operators Based on q-Integers [PDF]
, 2011 ABSTRACT: In this thesis, q-Szász-Durrmeyer (0 < q < 1) and q-Phillips (q > 0) operators are defined and some properties of these operators are studied. More precisely, local approximation results for continuous functions in terms of modulus of continuity are proved and Voronovskaja type asymptotic results are investigated.
Kaffaoğlu, Havva
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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
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