George E. Andrews,
Bruce C. Berndt
Springer New York
2009e druk, 2008
9780387777658
Ramanujan's Lost Notebook
Part II
Specificaties
Gebonden, 420 blz.
|
Engels
Springer New York |
2009e druk, 2008
ISBN13: 9780387777658
Rubricering
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated "Ramanujan's lost notebook." 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.
Specificaties
ISBN13:9780387777658
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:420
Uitgever:Springer New York
Druk:2009
Inhoudsopgave
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.