English

On "mixed" modular equations of degree 21

Number Theory 2020-09-30 v2

Abstract

In the proposed work, we establish a total of six new PP--QQ modular equations involving theta--function f(q)f(-q) with moduli of orders 1, 3, 7 and 21.These equations can be regarded as modular identities in the alternate theory of signature 3. As a consequence, several values of quotients of theta--function are evaluated.

Keywords

Cite

@article{arxiv.2006.01122,
  title  = {On "mixed" modular equations of degree 21},
  author = {S. Chandankumar},
  journal= {arXiv preprint arXiv:2006.01122},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2005.04595