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We consider numerical semigroups S3=⟨d1,d2,d3⟩, which are minimally generated by three positive integers. We revisit the Wilf question for S3 and, making use of identities for degrees of syzygies of such semigroups, we provide a short proof of existence of an affirmative answer. Finally, we find the upper and lower bounds for the rescaled genera of numerical semigroups S3.
Leonid G. Fel (Mon,) studied this question.
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