Julius Kruopis – the pioneer of applied statistics in Lithuania by Vilijandas Bagdonavičius, Vydas Čekanavičius, Rūta Levulienė, Pranas Vaitkus

“…Kruopis introduced shifted Poisson approximation, which unlike the usual Poisson approximation has two parameters and, therefore, is comparable to normal approximation. Moreover, for integer-valued random variables, the accuracy of shifted Poisson approximation can be measured in total variation metric. …”
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Investigating the impact of variety of e-retail delivery service options on customer retention by Soheila Zarinjoy alvar, shahin raz, Ali Tavakolifar

“…In addition to being relatively easy to model, existing optimization tools and software provide poor results when increasing the dimensionality of these types of problems with exceeding computational capacity. In this paper, an integer programming model, along with a heuristic to return a faster solution, was implemented to solve a segmentation problem in two different situations. …”
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Generalized H-fold sumset and Subsequence sum by Mohan, Pandey, Ram Krishna

“…Let $A$ and $H$ be nonempty finite sets of integers and positive integers, respectively. The generalized $H$-fold sumset, denoted by $H^{(r)}A$, is the union of the sumsets $h^{(r)}A$ for $h\in H$ where, the sumset $h^{(r)}A$ is the set of all integers that can be represented as a sum of $h$ elements from $A$ with no summand in the representation appearing more than $r$ times. …”
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Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k by Ibraham R. Al-Amri

“…In this paper we will show how to generate Akn+1 and Skn+1 using a copy of Sn and an element of order k in Akn+1 and Skn+1 respectively, for all positive integers n≥2 and all positive integers k≥2. We will also show how to generate Akn+1 and Skn+1 symmetrically using n elements each of order k, for all n≥2 and all even integers k≥2.…”
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On Optimal M-Sets Related to Motzkin’s Problem by Quan-Hui Yang, Ting Pan, Jian-Dong Wu

“…Let M be a set of positive integers. A set S of nonnegative integers is called an M‐set if a and b∈S, then a−b∉M. …”
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Notes on the divisibility of GCD and LCM Matrices by Pentti Haukkanen, Ismo Korkee

“…In this paper, we assume that the elements of the matrices (S)f and [S]f are integers and study the divisibility of GCD and LCM matrices and their unitary analogues in the ring Mn(ℤ) of the n×n matrices over the integers.…”
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Positive solutions of the diophantine equation by W. R. Utz

“…For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.…”
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The condition number associated with ideal lattices from odd prime degree cyclic number fields by de Araujo Robson Ricardo

“…In this work, we compute the condition number of a generator matrix of the ideal lattice from the whole ring of integers of any odd prime degree cyclic number field using canonical embedding.…”
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On direct and inverse problems related to some dilated sumsets by Kaur, Ramandeep, Singh, Sandeep

“…Let $A$ be a nonempty finite set of integers. For a real number $m$, the set $m\cdot A=\lbrace ma: a\in A\rbrace $ denotes the set of $m$-dilates of $A$. …”
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Secret sharing in a special linear group by V. I. Yanchevskiĭ, I. A. Havarushka, G. V. Matveev

“…The problem of developing the mathematical foundations of modular secret sharing in a special linear group over the ring of integers is being solved.The relevance of the problem is reduced to the fact that a large number of requirements are imposed on secret sharing schemes. …”
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Bridge and cycle degrees of vertices of graphs by Gary Chartrand, Farrokh Saba, Nicholas C. Wormald

“…A characterization of finite nonempty sets S of nonnegative integers is given for which S is the set of bridge degrees (cycle degrees) of the vertices of some graph. …”
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The Hermitian -Conjugate Generalized Procrustes Problem by Hai-Xia Chang, Xue-Feng Duan, Qing-Wen Wang

“…We consider the Hermitian -conjugate generalized Procrustes problem to find Hermitian -conjugate matrix such that is minimum, where , , , and (, ) are given complex matrices, and and are positive integers. The expression of the solution to Hermitian -conjugate generalized Procrustes problem is derived. …”
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Euler Numbers and Polynomials Associated with Zeta Functions by Taekyun Kim

“…Finally, we will give the new values of the Euler zeta function at positive even integers.…”
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q-Analogue of a binomial coefficient congruence by W. Edwin Clark

“…We establish a q-analogue of the congruence (papb)≡(ab)   (modp2) where p is a prime and a and b are positive integers.…”
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On Genocchi Numbers and Polynomials by Seog-Hoon Rim, Kyoung Ho Park, Eun Jung Moon

“…Finally, we construct the Genocchi zeta function which interpolates Genocchi polynomials at negative integers.…”
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Commutativity theorems for rings with constraints on commutators by Hamza A. S. Abujabal

“…If Q(n) is replaced by m and n are relatively prime positive integers, then R is commutative if extra constraint is given. …”
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On Poisson Nonlinear Transformations by Nasir Ganikhodjaev, Nur Zatul Akmar Hamzah

“…We construct the family of Poisson nonlinear transformations defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. …”
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A theorem on diophantine approximations by Vilius Stakėnas

“…The statement is comparable with that one on diophantine approximations with square-free integers. …”
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Commutativity of one sided s-unital rings through a Streb's result by Murtaza A. Quadri, V. W. Jacob, M. Ashraf

“…The main theorem proved in the present paper states as follows Let m, k, n and s be fixed non-negative integers such that k and n are not simultaneously equal to 1 and R be a left (resp right) s-unital ring satisfying [(xmyk)n−xsy,x]=0 (resp [(xmyk)n−yxs,x]=0) Then R is commutative. …”
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The Diophantine equation x2+2k=yn, II by J. H. E. Cohn

“…New results regarding the full solution of the diophantine equation x2+2k=yn in positive integers are obtained. These support a previous conjecture, without providing a complete proof.…”
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