English

Complementary Schur Asymptotics for Partitions

Number Theory 2018-12-17 v1

Abstract

We deduce from the strong form of the Hardy--Ramanujan asymptotics for the partition function p(n)p(n) an asymptotics for pS(n)p_{-S}(n), the number of partitions of nn that do not use parts from a finite set SS of positive integers. We apply this to construct highly oscillating partition ideals.

Keywords

Cite

@article{arxiv.1812.05951,
  title  = {Complementary Schur Asymptotics for Partitions},
  author = {Jaroslav Hančl},
  journal= {arXiv preprint arXiv:1812.05951},
  year   = {2018}
}
R2 v1 2026-06-23T06:42:38.901Z