English

Positive alternating sums of integer partitions

Number Theory 2020-03-06 v1

Abstract

We combine an extended version of Bailey's transform with an identity of Bressoud and with some identities of Berkovich and Warnaar to prove a variety of positivity results for alternating sums involving partition functions.

Keywords

Cite

@article{arxiv.2003.02543,
  title  = {Positive alternating sums of integer partitions},
  author = {Mohamed El Bachraoui},
  journal= {arXiv preprint arXiv:2003.02543},
  year   = {2020}
}

Comments

Accepted in Ramanujan Journal

R2 v1 2026-06-23T14:04:49.199Z