Results 1 to 10 of about 17,966 (292)
The largest missing value in a composition of an integer [PDF]
Discrete Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Margaret Archibald, Arnold Knopfmacher
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Integer composition, connection Appell constants and Bell polynomials [PDF]
Journal of Numerical Analysis and Approximation Theory, 2021 We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants. Generalizing, we give an explicit form of the connection coefficients for arbitrary polynomial sequences and ...
Nataliia Luno
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A Note on the Compositions of an Integer [PDF]
Canadian Mathematical Bulletin, 1958 Given an integer n, we define an r-composition of n as follows:An r-composition of n, (t1, ... , tr), is a set of ti where ti ≥ 1 is an integer for i = 1, ... , r such thatIf r is an integer such that 1 ≤ r ≤ n, we have, obviously, distinct r - compositions of n.
Narayana, T. V., Fulton, G. E.
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The Tantawy technique for modeling fractional KdV and mKdV positron-acoustic solitary waves in an electron-positron-ion plasma with regularized $$\kappa -$$ distribution [PDF]
Scientific ReportsThis work investigates the dynamical behavior of both the integer and fractional-order positron-acoustic solitary waves (PASWs) in a collisionless, unmagnetized electron-positron-ion plasma composed of stationary positive ions, inertial cold positrons ...
Samir A. El-Tantawy +4 more
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Longest run of equal parts in a random integer composition
Discrete Mathematics, 2015 15 pages, 3 ...
Ayla Gafni
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Boletin De La Sociedad Matematica MexicanaWe present families of combinatorial classes described as trees with nodes that can carry one of two types of "flowers": integer partitions or integer compositions. Two parameters on the flowers of trees will be considered: the number of "petals" in all the flowers (petals' weight) and the number of edges in the petals of all the flowers (flowers ...
Yongjian Yang
exaly +4 more sources
Integer factoring and compositeness witnesses [PDF]
Journal of Mathematical Cryptology, 2020 Abstract We describe a reduction of the problem of factorization of integers n ≤ x in polynomial-time (log x ) M +
Jacek Pomykala, Maciej Radziejewski
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ON MULTIPLICATIVE COMPOSITIONS OF INTEGERS [PDF]
Mathematika, 2017 We consider an arithmetic function defined independently by John G. Thompson andGreg Simay, with particular attention to its mean value, and its maximal size, and the analyticnature of its Dirichlet series generating function.
Montgomery, Hugh, Tenenbaum, Gerald
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S-Restricted Compositions Revisited [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 An S-restricted composition of a positive integer n is an ordered partition of n where each summand is drawn from a given subset S of positive integers. There are various problems regarding such compositions which have received attention in recent years.
Behrouz Zolfaghari +2 more
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The first ascent of size $d$ or more in compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 A composition of a positive integer $n$ is a finite sequence of positive integers $a_1, a_2, \ldots, a_k$ such that $a_1+a_2+ \cdots +a_k=n$. Let $d$ be a fixed nonnegative integer.
Charlotte Brennan, Arnold Knopfmacher
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