Andrews / Berndt Ramanujan's Lost Notebook
1. Auflage 2009
ISBN: 978-0-387-77766-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Part II
E-Book, Englisch, 420 Seiten, Web PDF
Reihe: Mathematics and Statistics (R0)
ISBN: 978-0-387-77766-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
In the spring of 1976, George Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated “Ramanujan's lost notebook” Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. The “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 mock theta functions is perhaps Ramanujan's deepest work.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
The Heine Transformation.- The Sears#x2013; Thomae Transformation.- Bilateral Series.- Well-Poised Series.- Bailey#x02019;s Lemma and Theta Expansions.- Partial Theta Functions.- Special Identities.- Theta Function Identities.- Ramanujan#x02019;s Cubic Analogue of the Classical Ramanujan#x2013;Weber Class Invariants.- Miscellaneous Results on Elliptic Functions and Theta Functions.- Formulas for the Power Series Coefficients of Certain Quotients of Eisenstein Series.- Two Letters on Eisenstein Series Written from Matlock House.- Eisenstein Series and Modular Equations.- Series Representable in Terms of Eisenstein Series.- Eisenstein Series and Approximations to #x03C0;.- Miscellaneous Results on Eisenstein Series.
