TY  - BOOK
AU  - Andrews, E.G. 
AU  - Berndt, C.B.
TI  - Ramanujan's lost notebook : : Part-I
SN  - 9781493976256
AV  - QA29.R3 
PY  - 2005///]
CY  - USA
PB  - Springer
KW  - Mathematics
N1  - Introduction
1. Rogers-Ramanujan Continued Fraction and Its Modular Properties
2. Explicit Evaluations of the Rogers-Ramanujan Continued Fraction
3. A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions
4. The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series
5. Finite Rogers-Ramanujan Continued Fractions
6. Other q-continued Fractions
7. Asymptotic Formulas for Continued Fractions
8. Ramanujan’s Continued Fraction for (q2;q3)∞/(q;q3)∞
9. The Rogers-Fine Identity
10. An Empirical Study of the Rogers-Ramanujan Identities
11. Rogers-Ramanujan-Slater Type Identities
12. Partial Fractions
13. Hadamard Products for Two q-Series
14. Integrals of Theta Functions
15. Incomplete Elliptic Integrals
16. Infinite Integrals of q-Products
17. Modular Equations in Ramanujan’s Lost Notebook
18. Fragments on Lambert Series
N2  - 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. Mathematicians are probably several decades away from a complete understanding of those functions. More than half of the material in the book is on q-series, including mock theta functions; the remaining part deals with theta function identities, modular equations, incomplete elliptic integrals of the first kind and other integrals of theta functions, Eisenstein series, particular values of theta functions, the Rogers-Ramanujan continued fraction, other q-continued fractions, other integrals, and parts of Hecke's theory of modular forms.
ER  -