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Relation between Borweins' cubic theta functions and Ramanujan's Eisenstein series - MaRDI portal

Relation between Borweins' cubic theta functions and Ramanujan's Eisenstein series (Q2039864)

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scientific article; zbMATH DE number 7368038
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Relation between Borweins' cubic theta functions and Ramanujan's Eisenstein series
scientific article; zbMATH DE number 7368038

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    Relation between Borweins' cubic theta functions and Ramanujan's Eisenstein series (English)
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    5 July 2021
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    Summary: Two-dimensional theta functions were found by the Borwein brothers to work on Gauss and Legendre's arithmetic-geometric mean iteration. In this paper, some new Eisenstein series identities are obtained by using \((p, k)\)-parametrization in terms of Borweins' theta functions.
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