English

Strict Partitions of Maximal Projective Degree

Combinatorics 2007-05-29 v1

Abstract

The projective degrees of strict partitions of n were computed for all n < 101 and the partitions with maximal projective degree were found for each n. It was observed that maximizing partitions for successive values of n "lie close to each other" in a certain sense. Conjecturing that this holds for larger values of n, the partitions of maximal degree were computed for all n < 221. The results are consistent with a recent conjecture on the limiting shape of the strict partition of maximal projective degree.

Keywords

Cite

@article{arxiv.0705.4015,
  title  = {Strict Partitions of Maximal Projective Degree},
  author = {Dan Bernstein},
  journal= {arXiv preprint arXiv:0705.4015},
  year   = {2007}
}
R2 v1 2026-06-21T08:32:34.532Z