Hypergeometric identities in elliptic signature six

P. L. Robinson

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arXiv · 2009.07069

Hypergeometric identities in elliptic signature six

P. L. Robinson

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Abstract

Within the Ramanujan theories of elliptic functions, Li-Chien Shen constructed natural elliptic functions in signature three and signature four. When applied in signature six, the same constructions produce non-elliptic functions that nevertheless engender the corresponding hypergeometric identities of Ramanujan.

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P. L. Robinson. 2020-09-12. Hypergeometric identities in elliptic signature six. https://arxiv.org/abs/2009.07069

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