Wilf's question in numerical semigroups S3 revisited and inequalities for rescaled genera
Abstract
We consider numerical semigroups S3 = d1,d2,d3, minimally generated by three positive integers. We revisit the Wilf question in S3 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 S3 and upper and lower bounds for rescaled genera.
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