Varada, Yathirajsharma Mudumbai and Harshitha, k. N. and Vasuki, K. R. (2022) On Gosper's Pi(q) and Lambert series identities. Hiroshima Mathematical Journal, 52 (1). pp. 113-137. ISSN 0018-2079
Full text not available from this repository. (Request a copy)Abstract
In an interesting article entitled `Experiments and discoveries in q-trigonometry'', R. W. Gosper conjectured few beautiful Pi(q) and Lambert series identities. Many people have attempted confirming some of those identities in the Gosper's list, mainly by using Gosper's q-trigonometric identities. In this paper we either prove or disprove all the Pi(q) and Lambert series identities in the Gosper's list by mainly using S. Ramanujan's theta function identities and W. N. Bailey's summation formula. In the process, we obtain three new Gosper kind of identities.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Eisenstein series; Ramanujan theta function; modular equations; constant Pi(q); Lambert series |
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | C Swapna Library Assistant |
| Date Deposited: | 14 Jul 2023 09:24 |
| Last Modified: | 14 Jul 2023 09:24 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/17625 |
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