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arXiv · 2307.10682

New Eliahou Semigroups and Verification of the Wilf Conjecture for Genus up to 65

Maria Bras-Amorós·César Marín-Rodríguez
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Abstract

We give a graphical reinterpretation of the seeds algorithm to explore the tree of numerical semigroups. We then exploit the seeds algorithm to find all the Eliahou semigroups of genus up to 65. Since all these semigroups satisfy the Wilf conjecture, this shows that the Wilf conjecture holds up to genus 65.

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Maria Bras-Amorós, César Marín-Rodríguez. 2023-07-20. New Eliahou Semigroups and Verification of the Wilf Conjecture for Genus up to 65. https://arxiv.org/abs/2307.10682

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