### Abstract

Page 188 in Ramanujan's lost notebook is devoted to a certain class of infinite series connected with Euler's pentagonal number theorem. These series are represented in terms of Ramanujan's famous Eisenstein series P, Q, and R. The purpose of this paper is to prove all the formulas on page 188 and to show that one of them leads to an interesting, new recurrence formula for σ(n), the sum of the positive divisors of n.

Original language | English (US) |
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Pages (from-to) | 123-129 |

Number of pages | 7 |

Journal | Glasgow Mathematical Journal |

Volume | 45 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 2003 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Berndt, B. C., & Yee, A. J. (2003). A page on Eisenstein series in Ramanujan's lost notebook.

*Glasgow Mathematical Journal*,*45*(1), 123-129. https://doi.org/10.1017/S0017089502001076