Bhargava, S. and Vasuki, K. R. and Sreeramamurthy, T. G. (2004) Some evaluations of Ramanujan's cubic continued fraction. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 35 (8). pp. 1003-1025.
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Abstract
As a sequel to some recent works of Berndt and Baruah and Saikia we evaluate G(e(-Pirootn)) for certain values of n where G(q) is the cubic continued fraction G(q) = q(1/3)/1 + q+q(2)/1 + q(2)+q(4)/1 + ... of Ramajunan's. The required modular identities are also obtained.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | theta-functions; modular equations; continued fractions |
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Users 23 not found. |
| Date Deposited: | 31 Aug 2019 07:24 |
| Last Modified: | 31 Aug 2019 07:24 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/6559 |
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