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A short proof of Fel’s theorems on 3-D Frobenius problem

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Functional Analysis and Other Mathematics

Abstract

The Frobenius number and the generating function for numerical additive semigroups with three generators is obtained in a way shorter with respect to the original proof by L. Fel.

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References

  1. Aicardi F (2007) On the Geometry of the Frobenius Problem. Funct Anal Other Math 2(2–4)

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  2. Fel LG (2006) Frobenius Problem for Semigroups S(d 1,d 2,d 3). Funct Anal Other Math 1(2):119–157. arXiv:math.NT/0409331

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  3. Fel LG, Aicardi F Gaps in Nonsymmetric Numerical Semigroups. Israel J Math 175 (to appear). arXiv:math.AC/0703735

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Authors and Affiliations

  1. Sistiana Mare 56 pr, 34011, Trieste, Italy

    Francesca Aicardi

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  1. Francesca Aicardi
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Correspondence to Francesca Aicardi.

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Aicardi, F. A short proof of Fel’s theorems on 3-D Frobenius problem. Funct. Anal. Other Math. 2, 241–246 (2009). https://doi.org/10.1007/s11853-009-0032-9

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  • DOI: https://doi.org/10.1007/s11853-009-0032-9

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