Notes on efficient computation of Ramanujan cubic equations
Published: 14 June 2022
Notes on Number Theory and Discrete Mathematics
,
Volume 28; https://doi.org/10.7546/nntdm.2022.28.2.350-375
Abstract: This paper considers properties of a theorem of Ramanujan to develop properties and algorithms related to cubic equations. The Ramanujan cubics are related to the Cardano cubics and Padovan recurrence relations. These generate cubic identities related to heptagonal triangles and third order recurrence relations, as well as an algorithm for finding the real root of the relevant Ramanujan cubic equation. The algorithm is applied to, and analyzed for, some of the earlier examples in the paper.
Keywords: Ramanujan cubic equations / triangles / theorem / heptagonal / Padovan
Scifeed alert for new publications
Never miss any articles matching your research from any publisher- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Click here to see the statistics on "Notes on Number Theory and Discrete Mathematics" .