✦ LIBER ✦

A New Class of Theta-Function Identities Originating in Ramanujan′s Notebooks

✍ Scribed by B.C. Berndt; L.C. Zhang

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 447 KB
Volume: 48
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1994.1064

No coin nor oath required. For personal study only.

✦ Synopsis

In the unorganized pages of his second notebook, Ramanujan offers two new theta-function identities that have a form different from other identities found in the literature. Using the theory of modular forms, we prove a general theorem containing Ramanujan's two identities as special cases. 1994 Academic Press, Inc.