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## Details

Genre/Form: | Biography |
---|---|

Additional Physical Format: | Print version (multi-volume): Andrews, George E., 1938- Ramanujan's lost notebook. New York ; London : Springer, 2005- (DLC) 2005923547 (OCoLC)60320109 (DLC) 2013937944 |

Named Person: | Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar |

Material Type: | Biography, Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
George E Andrews; Bruce C Berndt |

ISBN: | 9781461440819 1461440815 |

OCLC Number: | 847842072 |

Description: | 1 online resource (xvii, 439 p.) : ill. |

Contents: | 1. Introduction -- 2. Double series of Bessel functions and the circle and divisor problems -- 3. Koshliakov's formula and Guinand's formula -- 4. Theorems featuring the gamma function -- 5. Hypergeometric series -- 6. Two partial manuscripts on Euler's constant y -- 7. Problems in diophantine approximation -- 8. Number theory -- 9. Divisor sums -- 10. Identities related to the Riemann zeta function and periodic zeta functions -- 11. Two partial unpublished manuscripts on sums involving primes -- 12. An unpublished manuscript of Ramanujan on infinite series identities -- 13. A partial manuscript on Fourier and Laplace transforms -- 14. Integral analogues of theta functions and Gauss sums -- 15. Functional equations for products of Mellin transforms -- 16. A preliminary version of Ramanujan's paper "On the product [mathematical equation]" -- 17. A preliminary version of Ramanujan's paper "On the integral [mathematical equation]" -- 18. A partial manuscript connected with Ramanujan's paper "Some definite integrals" -- 19. Miscellaneous results in analysis -- 20. Elementary results -- 21. A strange, enigmatic partial manuscript. |

Responsibility: | George E. Andrews, Bruce C. Berndt. |

More information: |

### Abstract:

Fourth of five volumes that the authors plan to write on Ramanujan's lost notebook, this title, in contrast to the first three books, does not focus on q-series. It includes entries that fall under the purviews of number theory and classical analysis.
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