English

A Local Limit Theorem for Integer Partitions into Small Powers

Combinatorics 2023-11-16 v1 Number Theory

Abstract

The investigation of partitions of integers plays an important role in combinatorics and number theory. Among the many variations, partitions into powers 0<α<10<\alpha<1 were of recent interest. In the present paper we want to extend our considerations of the length of a random partition by providing a local limit theorem.

Keywords

Cite

@article{arxiv.2311.09203,
  title  = {A Local Limit Theorem for Integer Partitions into Small Powers},
  author = {Gabriel F. Lipnik and Manfred G. Madritsch and Robert F. Tichy},
  journal= {arXiv preprint arXiv:2311.09203},
  year   = {2023}
}

Comments

20 pages

R2 v1 2026-06-28T13:22:25.917Z