English

On a conjecture of Berndt and Kim

Number Theory 2011-12-21 v1

Abstract

We prove a recent conjecture of Berndt and Kim regarding the positivity of the coefficients in the asymptotic expansion of a class of partial theta functions. This generalizes results found in Ramanujan's second notebook, and recent work of Galway and Stanley.

Keywords

Cite

@article{arxiv.1112.4727,
  title  = {On a conjecture of Berndt and Kim},
  author = {Kathrin Bringmann and Amanda Folsom},
  journal= {arXiv preprint arXiv:1112.4727},
  year   = {2011}
}