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## Details

Additional Physical Format: | Print version: Andrews, George E., 1938- Ramanujan's lost notebook. Part I. New York ; London : Springer, 2005 (DLC) 2005923547 (OCoLC)60320109 |
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Named Person: | Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

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

ISBN: | 038728124X 9780387281247 1280308346 9781280308345 9780387255293 038725529X |

OCLC Number: | 64552624 |

Description: | 1 online resource (xiv, 437) : ports. |

Contents: | The Rogers-Ramanujan Continued Fraction and Its Modular Properties -- Explicit Evaluations of the Rogers-Ramanujan Continued Fraction -- A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions -- Rogers-Ramanujan Continued Fraction--Partitions, Lambert Series -- Finite Rogers-Ramanujan Continued Fractions -- Other q-continued Fractions -- Asymptotic Formulas for Continued Fractions -- Ramanujan's Continued Fraction for (q2; q3)[infinity]/(q; q3)[infinity] -- The Rogers-Fine Identity -- An Empirical Study of the Rogers-Ramanujan Identities -- Rogers-Ramanujan-Slater-Type Identities -- Partial Fractions -- Hadamard Products for Two q-Series -- Integrals of Theta Functions -- Incomplete Elliptic Integrals -- Infinite Integrals of q-Products -- Modular Equations in Ramanujan's Lost Notebook -- Fragments on Lambert Series. |

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

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

From the reviews: "The 'lost notebook' was in fact a 138-page manuscript found in materials from the estate of G.N. Watson. The manuscript, written in 'Ramanujan's distinctive handwriting', contained over 600 formulas. The authors have taken these results, provided proofs, placed them in the context of contemporary mathematics, and organized them accordingly ... This book is for the true fans of ... Ramanujan (Ramanuphiles?). If you enjoyed the original Ramanujan's Notebook series, then it's hard to pass this up." (Donald L. Vestal, MathDL-online, October 2006) "The present work is the first of an estimated four volumes devoted to all of the claims made by Ramanujan ... . The mathematics community owes a huge debt of gratitude to Andrews and Berndt for undertaking the monumental task of producing a coherent presentation along with complete proofs of the ... mathematical thoughts of Ramanujan during the last year of his life. ... Practitioners of q-series and other mathematicians interested in the work of Ramanujan, will delight in studying this book ... ." (Andrew V. Sills, Mathematical Reviews, Issue 2005 m) Read more...

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