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Vanishing coefficients in two $q$-series related to Legendre-signed partitions

Number Theory 2024-12-06 v2
Authors: Taylor Daniels
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Abstract

We demonstrate some 10-periodic properties of the coefficients of two qq-series related to partition numbers signed by the Legendre symbol (a5)(\frac{a}{5}) and to the Rogers-Ramanujan continued fraction R(q)R(q).

Keywords

q-series partition numbers legendre symbol rogers-ramanujan continued fraction periodic properties vanishing coefficients

Cite

@article{arxiv.2401.07956,
  title  = {Vanishing coefficients in two $q$-series related to Legendre-signed partitions},
  author = {Taylor Daniels},
  journal= {arXiv preprint arXiv:2401.07956},
  year   = {2024}
}

Comments

Updated version with changes made during publication. 10 pp

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