Results 11 to 20 of about 21,411 (263)
On the number of weighted zero-sum subsequences
Periodica Mathematica Hungarica, 2023 Let $G$ be a finite additive abelian group with exponent $d^kn, d,n>1,$ and $k$ a positive integer. For $S$ a sequence over $G$ and $A=\{1,2,\ldots,d^kn-1\}\setminus\{d^kn/d^i:i\in[1,k]\}, $ we investigate the lower bound of the number $N_{A,0}(S)$, which denotes the number of $A$-weighted zero-sum subsequences of $S.$ In particular, we prove that ...
Abílio Lemos +3 more
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Economic Theory, 2020 AbstractWhen choosing an alternative that has multiple attributes, it is common to form a weighted sum ranking. In this paper, we provide an axiomatic analysis of the weighted sum criterion using a general choice framework. We show that a preference order has aweakweighted sum representation if it satisfies three basic axioms: Monotonicity, Translation
Tapan Mitra, Kemal Ozbek
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Sums of Gauss sums and weights of irreducible codes
Finite Fields and Their Applications, 2005 This paper develops a matrix approach to compute a certain sum of Gauss sums that arises in the study of weights of irreducible codes. The authors have further derived a lower bound on the minimum weight of certain irreducible codes. Though the studies made have been restricted to binary codes, however, the methods of this paper applies to codes of odd
Fitzgerald, Robert W., Yucas, Joseph L.
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Estimating Sum by Weighted Sampling [PDF]
, 2007 We study the classic problem of estimating the sum of n variables. The traditional uniform sampling approach requires a linear number of samples to provide any non-trivial guarantees on the estimated sum. In this paper we consider various sampling methods besides uniform sampling, in particular sampling a variable with probability proportional to its ...
Rajeev Motwani 0001 +2 more
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On weighted zero-sum sequences
Advances in Applied Mathematics, 2012 24 pages. Accepted version for publication in Adv.
Sukumar Das Adhikari +2 more
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Complete $f$-moment convergence for weighted sums of WOD arrays with statistical applications [PDF]
, 2023 summary:Complete $f$-moment convergence is much more general than complete convergence and complete moment convergence. In this work, we mainly investigate the complete $f$-moment convergence for weighted sums of widely orthant dependent (WOD, for short)
Chen, Xi, Tao, Xinran, Wang, Xuejun
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Homogeneous weights and exponential sums
Finite Fields and Their Applications, 2003 Let \({\mathbb F}_{q}\) be a finite field of characteristic \(p\) with \(q=p^{ \mu}\) elements, and \(W_{l}({\mathbb F}_{q})\) the ring of Witt vectors of length \(l\) over \({\mathbb F}_{q}\). The ring \(W_{l}({\mathbb F}_{q})\) is a finite local ring with \(q^{l}\) elements. The maximal ideal of \(W_{l}({\mathbb F}_{q})\) is generated by \(p\), and \(
Voloch, José Felipe, Walker, Judy L.
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On the sum of Ricci-curvatures for weighted graphs [PDF]
Pure and Applied Mathematics Quarterly, 2021 In this paper, we generalize Lin-Lu-Yau's Ricci curvature to weighted graphs and give a simple limit-free definition. We prove two extremal results on the sum of Ricci curvatures for weighted graph. A weighted graph $G=(V,E,d)$ is an undirected graph $G=(V,E)$ associated with a distance function $d\colon E\to [0,\infty)$.
Bai, Shuliang +3 more
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Evaluations of a Weighted Average of Gauss Sums
, 2021 In this paper, we perform a further investigation for a weighted average of Gauss sums. By making use of some properties of the cotangent function and the Bernoulli polynomials, we explicitly evaluate the weighted average of Gauss sums in terms of the ...
Wen-Kai Shao, Yuan He
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Second moments of Dirichlet $L$-functions weighted by Kloosterman sums [PDF]
, 2012 summary:For the general modulo $q\geq 3$ and a general multiplicative character $\chi $ modulo $q$, the upper bound estimate of $ |S(m, n, 1, \chi , q)| $ is a very complex and difficult problem. In most cases, the Weil type bound for $ |S(m, n, 1, \chi ,
Wang, Tingting
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