The Frobenius problem for numerical semigroups with multiplicity four
β Scribed by J. C. Rosales; M. B. Branco
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 441 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0037-1912
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π SIMILAR VOLUMES
Given a positive integer g, we denote by F(g) the set of all numerical semigroups with Frobenius number g. The set (F(g), β©) is a semigroup. In this paper we study the generators of this semigroup.
Let A [0; l] be a set of n integers, and let h 2. By how much does |hA| exceed |(h&1) A| ? How can one estimate |hA| in terms of n, l ? We give sharp lower bounds extending and generalizing the well-known theorem of Freiman for |2A|. A number of applications are provided as well. In particular, we g
method a b s t r a c t In this paper, a new reproducing kernel space is constructed skillfully in order to solve a class of nonlinear four-point boundary value problems. The exact solution of the linear problem can be expressed in the form of series and the approximate solution of the nonlinear pro