### Abstract

Two proofs are given for a series transformation formula involving the logarithmic derivative of the Gamma function found in Ramanujan's lost notebook. The transformation formula is connected with a certain integral embodying the Riemann zeta function that is similar to integrals examined by Ramanujan in his one published paper on the zeta function.

Original language | English (US) |
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Title of host publication | The Legacy of Alladi Ramakrishnan in the Mathematical Sciences |

Publisher | Springer New York |

Pages | 199-210 |

Number of pages | 12 |

ISBN (Print) | 9781441962621 |

DOIs | |

State | Published - Jan 1 2010 |

### Keywords

- Gamma function
- Ramanujan's lost notebook
- Riemann zeta function
- Riemann Ξ-function

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Berndt, B. C., & Dixit, A. (2010). A transformation formula involving the gamma and riemann zeta functions in Ramanujan's lost notebook. In

*The Legacy of Alladi Ramakrishnan in the Mathematical Sciences*(pp. 199-210). Springer New York. https://doi.org/10.1007/978-1-4419-6263-8_12