Frobenius numbersgenusquadratic numbersApéry setIn this paper, we give closed-form expressions of the $p$-Frobenius number for the triple of the numbers $a n(n-1)+r$ for an integer $a\\ge 4$ and $r$ is odd. For the set of given positive integers $A:=\\{a_{1},a_{2},\\...
The largest integer that cannot be represented as a nonnegative integral combination of given set of positive integers is called the Frobenius number of th... I Aliev,M Henk - 《Mathematics of Operations Research》 被引量: 38发表: 2009年 Limit behaviour of large Frobenius numbers This is an...
We shall say that a natural number n ha... SM Ritter - 《Archiv Der Mathematik》 被引量: 11发表: 1997年 The Frobenius problem for modified arithmetic progressions For a set of positive and relatively prime integers A, let G{cyrillic}(A) denote the set of integers obtained by taking all...
The genus, Frobenius number and pseudo-Frobenius numbers of numerical semigroups of type 2 We study some questions on numerical semigroups of type 2. On the one hand, we investigate the relation between the genus and the Frobenius number. On the ... AM Robles-Pérez,JC Rosales - 《Procee...
Aliev, I.M., Gruber, P.M.: An optimal lower bound for the Frobenius problem. J. Number Theory 123, 71–79 (2007) Article MATH MathSciNet Google Scholar Aliev, I.M., Henk, M.: Integer knapsacks: Average behavior of the Frobenius numbers. Math. Oper. Res. 34, 698–705 (2009)...
Therefore, the Frobenius norm of the incidence matrix can be expressed in terms of the number of edges in the graph, |E|, as E(G)F=2|E|. It follows that the DNDS H2-norm is only dependent on the number of edges in the graph rather than the actual structure of the topology. ...
Fröberg R (1994) The Frobenius number of some semigroups. Commun Algebra 22(14):6021–6024 Article MATH Google Scholar Sylvester JJ et al (1884) Problems from the theory of numbers, with solutions. Educational Times 40–41 Denham G (2003) Short generating functions for some semigroup...
The authors study varieties over number fields which enjoy the property (*) that its cohomology in some fixed degree consists entirely of Hodge classes. Among other things, they give sufficient conditions for a variety to satisfy (*) in terms of its rational points over finite fields. For the...
摘要: The main purpose of this paper is to prove an identity of symmetry for the Frobenius-Euler polynomials.关键词: Fermionic p-adic q-integral Frobenius-Euler number DOI: 10.1216/RMJ-2011-41-1-239 被引量: 81 年份: 2008 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 国家科技...
To start off with, what are Frobenius numbers? First of all, we’ll attempt to visualize what exactly this problem states. Imagine that we have a number n of coins. These coins can be worth any natural number value, such as two, three,...