English

Hypergeometric identities in elliptic signature six

Complex Variables 2020-09-16 v1

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.

Cite

@article{arxiv.2009.07069,
  title  = {Hypergeometric identities in elliptic signature six},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:2009.07069},
  year   = {2020}
}
R2 v1 2026-06-23T18:33:24.869Z