English

Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions

Number Theory 2020-05-15 v1

Abstract

Relations involving the Rogers-Ramanujan continued fractions R(q),R(q), R(q3),R(q^3 ), and R(q4)R(q^4) are used to find new generating functions and congruences modulo 5 and 25 for 3-core, 4-core, 4-regular, and colored partition functions.

Keywords

Cite

@article{arxiv.2005.06799,
  title  = {Results on some partition functions arising from certain relations involving the Rogers-Ramanujan continued fractions},
  author = {Nayandeep Deka Baruah and Nilufar Mana Begum and Hirakjyoti Das},
  journal= {arXiv preprint arXiv:2005.06799},
  year   = {2020}
}