N-THETA FUNCTION IDENTITIES
Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 256
DOI:
Author :
M.S. Mahadeva Naika (Department of Mathematics Bangalore University, Central College Campus, Bangalore-560 001, India)
Abstract
Ramanujan develops, in Chapter 16 of his second notebook, the theory of theta-function and recorded several identities without proofs. All these have been proved by Adiga, Berndt, Bhargava and Watson. In this paper, we establish several results of N-theta function which are analogous to the results in the Entries in Chapter 16 of Ramanujan’s second notebook.
Keywords and Phrases
Theta-function.
A.M.S. subject classification
33D10, 11F27.
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