3 papers
math.CO2025
Algorithms for numerical semigroups with fixed maximum primitive
Manuel Delgado, Neeraj Kumar
We present an algorithm to explore various properties of the numerical semigroups with a given maximum primitive. In particular, we count the number of such numerical semigroups an…
math.CO2025
On counting numerical semigroups by maximum primitive and Wilf's conjecture
Manuel Delgado, Neeraj Kumar, Claude Marion
We introduce a new way of counting numerical semigroups, namely by their maximum primitive, and show its relation with the counting of numerical semigroups by their Frobenius numbe…
math.GR2023
A verification of Wilf's conjecture up to genus 100
Manuel Delgado, Shalom Eliahou, Jean Fromentin
For a numerical semigroup , let denote its multiplicity, embedding dimension, conductor and genus, respectively. Wilf's conjecture (1978) states t…