Bruce C. Berndt

Ramanujan's Notebooks (eBook, PDF)

Part III

• Format: PDF

Produktbeschreibung

Upon Ramanujans death in 1920, G. H. Hardy strongly urged that Ramanujans notebooks be published and edited. In 1957, the Tata Institute of Fundamental Research in Bombay finally published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the task of editing Ramanujans notebooks: proofs are provided to theorems not yet proven in previous literature, and many results are so startling as to be unique.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 510
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461209652
• Artikelnr.: 43987516

Inhaltsangabe

16 q-Series and Theta-Functions.- 17 Fundamental Properties of Elliptic Functions.- 18 The Jacobian Elliptic Functions.- 19 Modular Equations of Degrees 3, 5, and 7 and Associated Theta-Function Identities.- 20 Modular Equations of Higher and Composite Degrees.- 21 Eisenstein Series.- References.