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Vasuki, K. R.
- On a Modular Equation of Degree 27
Abstract Views :184 |
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Authors
K. R. Vasuki
1,
G. Sharath
1
Affiliations
1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570 006, IN
1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570 006, IN
Source
The Journal of the Indian Mathematical Society, Vol 82, No 1-2 (2015), Pagination: 197-206Abstract
On page 309 of his second notebook, Ramanujan has recorded a modular equation of composite degree 1, 3, 9, 27. B. C. Berndt has dis-proved the same and did not mention the correct one. The purpose of this paper is to establish the same.Keywords
Theta Functions, Modular Equations.- Some New Values for the Rogers-Ramanujan Continued Fraction
Abstract Views :190 |
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Authors
Affiliations
1 Department of Mathematics, Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Road, Bangalore-560090, IN
2 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, IN
1 Department of Mathematics, Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Road, Bangalore-560090, IN
2 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, IN
Source
The Journal of the Indian Mathematical Society, Vol 70, No 1-4 (2003), Pagination: 87-95Abstract
In his first and lost notebooks, Ramanujan has recorded several values for the Rogers-Ramanujan continued fraction. B.C. Berndt, H.H. Chan and L.-C. Zhang have established all these values on employing some of Ramanujan’s eta-function identities. In this paper we obtain some new values for the Rogers-Ramanujan continued fraction.Keywords
Theta Functions, Rogers-Ramanujan Continued Fraction.- Evaluations of Ramanujan-Weber Class Invariant gn
Abstract Views :174 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Acharya Institute of Technology, Soldevanahalli Chikkabanavara (Post), Hesaraghatta Road, Bangalore-560 090, IN
1 Department of Mathematics, Acharya Institute of Technology, Soldevanahalli Chikkabanavara (Post), Hesaraghatta Road, Bangalore-560 090, IN