2 problems

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Kerstetter–O'Neill's conjecture on Betti numbers of parametric numerical semigroups
Let $f_1(n),\ldots,f_k(n):\mathbb{N}\to\mathbb{N}$ be polynomial functions, and let $S_n=\langle f_1(n),\ldots,f_k(n)\rangle$ be the associated parametric numerical semigroup. A fu…
Conjectureopennumerical-semigroups parametric-presburger-arithmeticarXiv posted 2 days ago
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Woods's conjecture on quasi-polynomial behavior of parametric Presburger families
Woods's conjecture. Every parametric Presburger family exhibits eventual quasi-polynomial behavior.
Conjectureopenlogic parametric-presburger-arithmetic quasi-polynomialsarXiv posted 2 days ago

Kerstetter–O'Neill's conjecture on Betti numbers of parametric numerical semigroups