English

On the asymptotics of certain colored partitions

Number Theory 2025-04-03 v2

Abstract

We will prove an infinite family of asymptotic formulas for the logarithm of certain two-colored partitions. An infinite sub-family of these asymptotics was posed as a conjecture by Guadalupe.

Keywords

Cite

@article{arxiv.2412.11622,
  title  = {On the asymptotics of certain colored partitions},
  author = {Lukas Mauth},
  journal= {arXiv preprint arXiv:2412.11622},
  year   = {2025}
}

Comments

8 pages. Fixed minor typos. Added additional references