Results 1 to 10 of about 1,754,330 (293)
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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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
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Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible with
Valentin Ovsienko
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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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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 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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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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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
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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
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