34 citations · 56 across the 26 of their papers we have counts for
26 papers
Numerical Semigroups with
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 , where 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 be a prime number, and let be the numerical semigroup generated by the prime numbers not less than . We compare the orders of magnitude of some invariants of wit…
A lower bound for the Wilf density, deduced from a result of Zhai
Michael Hellus, Anton Rechenauer, Rolf Waldi
Let be a numerical semigroup with Frobenius number , genus and embedding dimension . 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 be a numerical semigroup with Frobenius number , genus and embedding dimension . % In 1978 Wilf asked the question, whether . As is…
Numerical Semigroups generated by Primes
Michael Hellus, Anton Rechenauer, Rolf Waldi
Let be the consecutive prime numbers, the numerical semigroup generated by the primes not less than and the largest irredundant gene…
Generalization of a connectedness result to cohomologically complete intersections
Michael Hellus
It is a well-known result that, in projective space over a field, every set-theoretical complete intersection of positive dimension in connected in codimension one (Hartshorne [H1,…