Results 11 to 20 of about 269 (36)
Recursive determination of the enumerator for sums of three squares
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 529-532, 2000., 2000 For each nonnegative integer n, r3(n) denotes the number of representations of n by sums of three squares. Here presented is a two‐step recursive scheme for computing r3(n), n ≥ 0.
John A. Ewell
wiley +1 more source
The hyperbolicity constant of infinite circulant graphs
Open Mathematics, 2017 If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X.
Rodríguez José M., Sigarreta José M.
doaj +1 more source
Functional centrality in graphs [PDF]
, 2006 In this paper we introduce the functional centrality as a generalization of the subgraph centrality. We propose a general method for characterizing nodes in the graph according to the number of closed walks starting and ending at the node.
A. Gutiérrez +5 more
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A generalized formula of Hardy
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 369-378, 1994., 1994 We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi‐crystal structure and self‐similarity. Other recent work has given continued fractions for the type of functions herein. Hardy originally gave such formulae as ours in early work on gap power series which led to his and Littlewood′s High Indices ...
Geoffrey B. Campbell
wiley +1 more source
The log-convexity of the poly-Cauchy numbers
, 2016 In 2013, Komatsu introduced the poly-Cauchy numbers, which generalize Cauchy numbers. Several generalizations of poly-Cauchy numbers have been considered since then. One particular type of generalizations is that of multiparameter-poly-Cauchy numbers. In
Komatsu, Takao, Zhao, Feng-Zhen
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Equality cases of the Alexandrov–Fenchel inequality are not in the polynomial hierarchy
Forum of Mathematics, PiDescribing the equality conditions of the Alexandrov–Fenchel inequality [Ale37] has been a major open problem for decades. We prove that in the case of convex polytopes, this description is not in the polynomial hierarchy unless the polynomial hierarchy ...
Swee Hong Chan, Igor Pak
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Zeros distribution and interlacing property for certain polynomial sequences
Open MathematicsIn this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Interlacing Log-concavity of the Boros-Moll Polynomials [PDF]
, 2010 We introduce the notion of interlacing log-concavity of a polynomial sequence $\{P_m(x)\}_{m\geq 0}$, where $P_m(x)$ is a polynomial of degree m with positive coefficients $a_{i}(m)$.
Chen, William Y. C. +2 more
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Stanley's Major Contributions to Ehrhart Theory
, 2015 This expository paper features a few highlights of Richard Stanley's extensive work in Ehrhart theory, the study of integer-point enumeration in rational polyhedra.
Beck, Matthias
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The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially [PDF]
, 2004 We show that the number of ternary words of length n avoiding abelian cubes grows faster than r^n, where r = 2^{1/24}NSERCcs.uwaterloo.ca/journals/JIS/VOL7/Currie/currie18 ...
Aberkane, Ali +2 more
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