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Cubic Identities of Theta Functions |
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| Authors: | Son Seung H. |
| Affiliation: | (1) Department of Mathematics, University of Illinois, Urbana, Illinois, 61801. Email |
| Abstract: | Many remarkable cubic theorems involving theta functions can be found in Ramanujan's Lost Notebook. Using addition formulas, the Jacobi triple product identity and the quintuple product identity, we establish several theorems to prove Ramanujan's cubic identities. |
| Keywords: | theta function Jacobi triple product identity Euler's pentagonal number theorem residue classes |
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