Ramanujan's Lost Notebook

Part II
1. Auflage. Softcover version of original hardcover Auflage 2009
ISBN: 978-1-4419-2666-1
Verlag: Springer

Buch, Englisch, 420 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 651 g

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.

Andrews, George E.

Berndt, Bruce C.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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.

Über Autor(innen)

George E. Andrews is currently a professor of mathematics at Pennsylvania State University.

Bruce C. Berndt is currently a professor of mathematics at the University of Illinois.