English

On a sign-change conjecture of Schlosser and Zhou

Combinatorics 2024-07-15 v2 Number Theory

Abstract

In this paper, we investigate the signs changes of Fourier coefficients of infinite products of qq-series of Rogers--Ramanujan type. In particular, we prove a conjecture made by Schlosser--Zhou pertaining to such sign changes for products of modulus 1010.

Keywords

Cite

@article{arxiv.2406.03453,
  title  = {On a sign-change conjecture of Schlosser and Zhou},
  author = {Kathrin Bringmann and Bernhard Heim and Ben Kane},
  journal= {arXiv preprint arXiv:2406.03453},
  year   = {2024}
}