New modular relations for cubics class invariants

Authors

  • M. S. Mahadeva Naika
  • S. Chandankumar
  • B. Hemanthkumar

DOI:

https://doi.org/10.1285/i15900932v34n2p75

Keywords:

Modular equations, Theta–functions, cubic class invariant, cubic singular moduli

Abstract

In this paper, we establish several new P–Q mixed modular equations involving theta–functions which are similar to those recorded by Ramanujan in his notebooks. As an application, we establish several new explicit evaluations of cubic class invariants and cubic singular moduli.

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Published

15-02-2015

Issue

Volume 34, Issue 2 (2014)

Section

Articoli

License

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