A lower bound for the Wilf density, deduced from a result of Zhai

Let $S\neq\mathbb N$ be a numerical semigroup with Frobenius number $f$, genus $g$ and embedding dimension $e$. In 1978 Wilf asked the question, whether $\frac{f+1-g}{f+1}\geq\frac1e$. As is well known, this holds in the cases $e=2$ and $e=3$. From Zhai's results in [5] we derive \[\frac{f+1-g}...

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Hauptverfasser:	Hellus, Michael, Rechenauer, Anton, Waldi, Rolf
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Number Theory
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