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http://13.232.72.61:8080/jspui/handle/123456789/2369| Title: | Theta-Function Identities of Level 8 and its Application to Partitions. |
| Authors: | Srivatsa, B. R. Kumar Rajanna, K. R. Narendra, R. |
| Keywords: | Engineering Mathematics Theta-Functions Colored Partitions |
| Issue Date: | 2018 |
| Publisher: | Springer. |
| Citation: | Srivatsa, B. R. Kumar., Rajanna, K. R., & Narendra, R. (2018). Theta-function identities of level 8 and its application to partitions. Afrika Matematika, 30(1-2), 257-267. |
| Abstract: | S. Ramanujan has recorded many theta-function identities in his notebooks and ‘Lost’ notebook. Inspired by the works of Ramanujan, recently M. Somos discovered several new theta-function identities using PARI/GP scripts without offering the proof, which are analogous to Ramanujan’s theta-function identities. In this paper, we give proofs for some theta-function identities of level 8 discovered by Somos. Furthermore, we extract some partition identities from them. |
| URI: | http://13.232.72.61:8080/jspui/handle/123456789/2369 |
| Appears in Collections: | Faculty Publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Theta-function identities of level 8 and its application to partitions.pdf | 390.5 kB | Adobe PDF | View/Open |
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