A. Rechenauer · wovepaper

activity

20182026

most citedNumerical Semigroups generated by Primes

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

Numerical Semigroups with $a_{e} = 2 g + 1$

Michael Hellus, Reinhold Hübl, Anton Rechenauer

This article discusses numerical semigroups having a generator which is as large as possible. This turns out to be $2 g + 1$ , where $g$ is the genus of the semigroup. We will show tha…

On the order of magnitude of certain integer sequences

Michael Hellus, Anton Rechenauer, Rolf Waldi

Let $p$ be a prime number, and let $S$ be the numerical semigroup generated by the prime numbers not less than $p$ . We compare the orders of magnitude of some invariants of $S$ wit…

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…

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★ 1 cited

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…

math.AC2018★ 1 cited

Variants on a question of Wilf

Michael Hellus, Anton Rechenauer, Rolf Waldi

Let $S \neq = N$ be a numerical semigroup generated by $e$ elements. In his paper (A Circle-Of-Lights Algorithm for the "Money-Changing Problem", Amer. Math. Monthly 85 (1978),…