A. Rechenauer

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20182021

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math.NT2021

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

Michael Hellus, Anton Rechenauer, Rolf Waldi

Let $S \neq = N$ 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\frac…

math.NT2021

Note on a question of Wilf

Michael Hellus, Anton Rechenauer, Rolf Waldi

Let $S$ be a numerical semigroup with Frobenius number $f$ , genus $g$ and embedding dimension $e$ . % In 1978 Wilf asked the question, whether $\frac{f + 1 - g}{f + 1} \geq \frac{1}{e}$ . As is…

math.NT2019

Numerical Semigroups generated by Primes

Michael Hellus, Anton Rechenauer, Rolf Waldi

Let $p_{1} = 2, p_{2} = 3, p_{3} = 5, \dots$ be the consecutive prime numbers, $S_{n}$ the numerical semigroup generated by the primes not less than $p_{n}$ and $u_{n}$ the largest irredundant gene…