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Some more identities of the Rogers-Ramanujan type

Number Theory 2018-12-27 v3 Combinatorics

Abstract

In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.

Keywords

Cite

@article{arxiv.math/0607202,
  title  = {Some more identities of the Rogers-Ramanujan type},
  author = {Douglas Bowman and James Mc Laughlin and Andrew V. Sills},
  journal= {arXiv preprint arXiv:math/0607202},
  year   = {2018}
}

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16 pages