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

Autor: Fel, Leonid G.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 higher genera.
Comment: 9 pages, 1 Figure
Databáze: arXiv