English

Some singular values of the elliptic lambda function and incredible cubic identities

Number Theory 2020-07-03 v2

Abstract

We propose three kinds of explicit formulas for the elliptic lambda function by the elliptic modular function. Further, we derive incredible cubic identities as a corollary of our explicit formulas and evaluate some singular values of the elliptic lambda function explicitly.

Keywords

Cite

@article{arxiv.2006.12034,
  title  = {Some singular values of the elliptic lambda function and incredible cubic identities},
  author = {Genki Shibukawa},
  journal= {arXiv preprint arXiv:2006.12034},
  year   = {2020}
}

Comments

20 pages

R2 v1 2026-06-23T16:30:30.945Z