On a density problem of Erdös by Safwan Akbik

“…For a positive integer n, let P(n) denotes the largest prime divisor of n and define the set: 𝒮(x)=𝒮={n≤x:n   does not divide   P(n)!}. …”
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Lower Bound for the Class Number of ℚn2+4 by Hasan Sankari, Ahmad Issa

“…In this paper, we give an explicit lower bound for the class number of real quadratic field ℚd, where d=n2+4 is a square-free integer, using  ωn which is the number of odd prime divisors of n.…”
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Asymptotic Estimates for Second Kind Generalized Stirling Numbers by Cristina B. Corcino, Roberto B. Corcino

“…Asymptotic formulas for the generalized Stirling numbers of the second kind with integer and real parameters are obtained and ranges of validity of the formulas are established. …”
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Studies of Connected Networks via Fractional Metric Dimension by Hassan Zafar, Muhammad Javaid, Ebenezer Bonyah

“…Metric dimension is an effective tool to study different distance-based problems in the field of telecommunication, robotics, computer networking, integer programming, chemistry, and electrical networking. …”
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The Spectrum and Eigenvectors of the Laplacian Matrices of the Brualdi-Li Tournament Digraphs by Xiaogen Chen

“…Let m≥1 be an integer, let ℬ2m denote the Brualdi-Li matrix of order 2m, and let ℒℬ2m denote the Laplacian matrices of Brualdi-Li tournament digraphs. …”
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A degree theory for locally compact perturbations of Fredholm maps in Banach spaces

“…<p>We present an integer valued degree theory for locally compact perturbations of Fredholm maps of index zero between (open sets in) Banach spaces <emph>quasi-Fredholm maps</emph>, for short). …”
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A remark on the r-th mean differentiability by George D. Stamatelos

“…In the mathematical developments regarding the asymptotic expansion and the asymptotic distribution of the likelihood function, there arises the question whether the assumptions made on the model imply differentiability in the r′-th mean of the underlying random functions, for integer values r′<r. The present paper provides an answer to this question and also gives the explicit form of the derivatives in the r′-th mean involved.…”
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Fine Spectra of Symmetric Toeplitz Operators by Muhammed Altun

“…Here, we generalize those results to the (2𝑛+1)-banded symmetric Toeplitz matrix operators for arbitrary positive integer 𝑛.…”
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Some Normal Criteria about Shared Values with Their Multiplicity Zeros by Jianming Qi, Taiying Zhu

“…Let F be a family of meromorphic functions in the domain D, all of whose zeros are multiple. Let n  (n≥2) be an integer and let a, b be two nonzero finite complex numbers. …”
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Certain invariant subspaces for operators with rich eigenvalues by Karim Seddighi

“…For a connected open subset Ω of the plane and n a positive integer, let Bn(Ω) be the space introduced by Cowen and Douglas. …”
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A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel by Hashim M. Alshehri, Aziz Khan

“…We observe that the model of fractional order has the same behavior of the solutions as the integer order existing model.…”
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Nonrepetitive Colorings of GraphsA Survey by Jaroslaw Grytczuk

“…A vertex coloring f of a graph G is nonrepetitive if there are no integer r≥1 and a simple path v1,…,v2r in G such that f(vi)=f(vr+i) for all i=1,…,r. …”
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On a New Stability Problem of Radical nth-Degree Functional Equation by Brzdęk’s Fixed-Point Method by Dongseung Kang, Hoewoon B. Kim

“…In this paper, we introduce the radical nth-degree functional equation of the form f(xn+ynn)=f(x)+f(y) with a positive integer n, discuss its general solutions, and prove new Hyers-Ulam-type stability results for the equation by using Brzdęk’s fixed-point method.…”
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Derivations of higher order in semiprime rings by Jiang Luh, Youpei Ye

“…Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.…”
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Properties of a Class of -Harmonic Functions by Elif Yaşar, Sibel Yalçın

“…A times continuously differentiable complex-valued function in a domain is -harmonic if satisfies the -harmonic equation , where is a positive integer. By using the generalized Salagean differential operator, we introduce a class of -harmonic functions and investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points, and convex combination of the class.…”
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On the basis of the direct product of paths and wheels by A. A. Al-Rhayyel

“…The basis number, b(G), of a graph G is defined to be the least integer k such that G has a k-fold basis for its cycle space. …”
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Some results about negabent functions by REN Chuan-lun1, LIU Feng-mei4, LI Zhong-xian1, NIU Xin-xin1, YANG Yi-xian1

“…By integer solutions of the quadratic diophantine equation,the indgement and construction of Negabent func-tions was studied.A condition for judging whether a function was Negabent and an indirect method of constructing Negabent functions were given.The result that many Maiorana-McFarland bent functions are not Negabent functions was proven.…”
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n-Tuplet Coincidence Point Theorems in Intuitionistic Fuzzy Normed Spaces by Müzeyyen Ertürk, Vatan Karakaya

“…For an arbitrary n positive integer, we investigate the existence of n-tuplet coincidence points in intuitionistic fuzzy normed space. …”
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Minimal Bratteli diagrams and the dimension groups of AF C*-algebras by Ryan J. Zerr

“…The results here generalize the well-known fact that commutative AF algebras have dimension groups which can be identified with groups of integer-valued continuous functions.…”
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Further results on a generalization of Bertrand's postulate by George Giordano

“…Let d(k) be defined as the least positive integer n for which pn+1<2pn−k. In this paper we will show that for k≥286664, then d(k)<k/(logk−2.531) and for k≥2, then k(1−1/logk)/logk<d(k). …”
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