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The products of three theta functions and the general cubic theta functions.
- Source :
- Acta Mathematica Sinica; Jun2010, Vol. 26 Issue 6, p1115-1124, 10p
- Publication Year :
- 2010
-
Abstract
- In this paper we establish two theta function identities with four parameters by the theory of theta functions. Using these identities we introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan’s identities, Winquist’s identity and many other interesting identities. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 26
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 50309109
- Full Text :
- https://doi.org/10.1007/s10114-010-8435-6