Abstract
Some of Ramanujan's original discoveries about hypergeometric functions and their relation to modular integrals, especially Eisenstein series ofnegative weight, are still not very well understood. These discoveries take the form of identities that he recorded, without proof, as entries in his notebooks. In the following sections I will introduce some of these entries, discuss their status, give new proofs of several of them and also provide new results of a similar nature.
Publisher
Cambridge University Press (CUP)
Reference29 articles.
1. Ramanujan's Note Books
2. XII.—Matrices and Continued Fractions
3. On the representation of certain asymptotic series as convergent continued fractions;Rogers;Proc. London Math. Soc.,1906
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