Key points are not available for this paper at this time.
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 higher genera.
Leonid G. Fel (Wed,) studied this question.