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New proofs of Ramanujan’s identities on false theta functions

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Abstract

We provide new proofs to five of Ramanujan’s intriguing identities on false theta functions without using the Rogers-Fine identity and Bailey transforms.

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Correspondence to Liuquan Wang.

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Dedicated to Professor George E. Andrews on the occasion of his 80th birthday

The author was supported by “the Fundamental Research Funds for the Central Universities” (Project No. 2042018kf0027, Funding No. 1301-413000053) and a start-up research Grant (No. 1301-413100048) of the Wuhan University.

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Wang, L. New proofs of Ramanujan’s identities on false theta functions. Ramanujan J 50, 423–431 (2019). https://doi.org/10.1007/s11139-018-0048-1

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  • DOI: https://doi.org/10.1007/s11139-018-0048-1

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