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Ramanujan's lost notebook

Autore: George E Andrews; Bruce C Berndt
Editore: New York : Springer, ©2005-
Edizione/Formato:   eBook : Document : EnglishVedi tutte le edizioni e i formati
Sommario:
This is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook.
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Genere/forma: Electronic books
Biography
Informazioni aggiuntive sul formato: Print version:
Andrews, George E., 1938-
Ramanujan's lost notebook.
New York : Springer, ©2005-
(DLC) 2005923547
Persona incaricata: Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar
Tipo materiale: Document, Risorsa internet
Tipo documento Risorsa Internet, Computer file
Tutti gli autori / Collaboratori: George E Andrews; Bruce C Berndt
{0} 038725529X 9780387255293 038728124X 9780387281247 9780387777658 0387777652 9780387777665 0387777660 1441920625 9781441920621
Numero OCLC: 228396300
Nota sulla lingua: English.
Descrizione: 1 online resource : portraits
Contenuti: Inroduction; 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; The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series; Finite Rogers-Ramanujan Continued Fractions; Other q-continued Fractions; Asymptotic Formulas for Continued Fractions; Ramanujan's Continued Fraction for (q2; q3)8/(q; q3)8; The Rogers-Fine Identity; An Empirical Study of the Rogers-Ramanujan Identities; Rogers-Ramanujan-Slater Type Identities. Partial FractionsHadamard 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.
Responsabilità: George E. Andrews, Bruce C. Berndt.

Abstract:

"Ramanujan's lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on  Per saperne di più…

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From the reviews: "This volume contains 16 chapters comprising 314 entries. The material is arranged thematically with the main topics being some of Ramanujan's favorites q series theta functions ... Per saperne di più…

 
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