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arXiv · 2406.13580

Wilf's question in numerical semigroups $S_3$ revisited and inequalities for rescaled genera

Leonid G. Fel
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Abstract

We consider numerical semigroups $S_3 = \langle d_1,d_2,d_3\rangle$, minimally generated by three positive integers. We revisit the Wilf question in $S_3$ and, making use of identities for degrees of syzygies of such semigroups, give a short proof of existence of an affirmative answer. We find also the lower bound for Frobenius numbers of $S_3$ and upper and lower bounds for rescaled genera.

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Leonid G. Fel. 2024-06-19. Wilf's question in numerical semigroups $S_3$ revisited and inequalities for rescaled genera. https://arxiv.org/abs/2406.13580

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