Two Modular Equationsfor Squares of the Cubic-functions with Applications

Authors

  • K.R. Vasuki
  • G. Sharath
  • K.R. Rajanna

DOI:

https://doi.org/10.1285/i15900932v30n2p61

Keywords:

Cubic function, Ramanujan cubic continued fraction, Theta function identities related to modular equations of degree 3.

Abstract

In this paper, we derive two modular identities for cubic functions and are shown to be connected to the Ramanujan cubic continued fraction G(q). Also we have derived many theta function identities which play an important role in proving Ramanujan’s modular equations of degree 3.

Downloads

Published

16-10-2011

Issue

Volume 30, Issue 2 (2010)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode