English

A Rademacher Type Formula For Partitions and Overpartitions

Number Theory 2013-12-04 v1

Abstract

A Rademacher-type convergent series formula which generalizes the Hardy-Ramanujan-Rademacher formula for the number of partitions of nn and the Zuckerman formula for the Fourier coefficients of ϑ4(0τ)1\vartheta_4(0\vert \tau)^{-1} is presented.

Keywords

Cite

@article{arxiv.1312.0696,
  title  = {A Rademacher Type Formula For Partitions and Overpartitions},
  author = {Andrew V. Sills},
  journal= {arXiv preprint arXiv:1312.0696},
  year   = {2013}
}

Comments

21 pages

R2 v1 2026-06-22T02:19:29.504Z