Circular summation of theta functions in Ramanujan's lost notebook (Q819739)
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scientific article; zbMATH DE number 5016206
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Circular summation of theta functions in Ramanujan's lost notebook |
scientific article; zbMATH DE number 5016206 |
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Circular summation of theta functions in Ramanujan's lost notebook (English)
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29 March 2006
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The authors study on elliptic functions, theta functions, Jacobi elliptic functions and Ramanujan's circular summation formulas. They prove Ramanujan's circular summation formulas and give identities similar to Ramanujan's summation formula and connect these identities to Jacobi's and Dixon's elliptic functions. They also make remarks and discussions related to these functions.
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Jacobi elliptic functions
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theta functions
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circular summation
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