English

Euler-like recurrences for smallest parts functions

Number Theory 2015-04-15 v1

Abstract

We obtain recurrences for smallest parts functions which resemble Euler's recurrence for the ordinary partition function. The proofs involve the holomorphic projection of non-holomorphic modular forms of weight 2.

Keywords

Cite

@article{arxiv.1402.5366,
  title  = {Euler-like recurrences for smallest parts functions},
  author = {Scott Ahlgren and Nickolas Andersen},
  journal= {arXiv preprint arXiv:1402.5366},
  year   = {2015}
}
R2 v1 2026-06-22T03:13:19.026Z