Chan's Cubic Analogue of Ramanujan's "most beautiful identity" for p(5n+4)

Chan's Cubic Analogue of Ramanujan's "most beautiful identity" for p(5n+4)

New proof for Chan’s cubic analogue of Ramanujan’s “most beautiful identity” about the generating function for p(5n + 4) is presented and four equations satisfied by Ramanujan’s cubic continued fraction are reviewed by means of Weierstrass’ three-term relation for classical theta functions....

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Bibliographic Details
Main Authors: Wenchang Chu, Roberta R. Zhou
Format: Article
Language:English
Published: Sapienza Università Editrice 2015-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
ramanujan’s “most beautiful identity”
ramanujan’s cubic continued fraction
jacobi’s triple product identity
weierstrass’ three-term relation
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2015(1-2)/77-88.pdf
Description
Summary:New proof for Chan’s cubic analogue of Ramanujan’s “most beautiful identity” about the generating function for p(5n + 4) is presented and four equations satisfied by Ramanujan’s cubic continued fraction are reviewed by means of Weierstrass’ three-term relation for classical theta functions.
ISSN:1120-7183
2532-3350

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