Elucidation of the Transcendence Equation \(\mathit{j}\) + \(\sqrt{j^3+ k^3 - jk}\) \(\sqrt[3]{1^2+ m^2}\) = \(\mathit{h}^3(2^{2n} + 1)\)

Authors

  • P. Saranya PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.
  • G. Janaki PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.
  • M. Shri Padmapriya PG & Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli – 620 018, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH4

Keywords:

Transcendental, equation, integer solutions

Abstract

We make an effort and elucidate the integral solutions of the transcendental equation \(\mathit{j}\) + \(\sqrt{j^3+ k^3 - jk}\) \(\sqrt[3]{1^2+ m^2}\) = \(\mathit{h}^3(2^{2n} + 1)\) under multiple patterns with certain numerical examples.

Published

2023-11-11

How to Cite

P. Saranya, G. Janaki, & M. Shri Padmapriya. (2023). Elucidation of the Transcendence Equation \(\mathit{j}\) + \(\sqrt{j^3+ k^3 - jk}\) \(\sqrt[3]{1^2+ m^2}\) = \(\mathit{h}^3(2^{2n} + 1)\). Explorations in Diophantine Equations, 28–36. https://doi.org/10.9734/bpi/mono/978-81-967488-3-8/CH4

Issue

Explorations in Diophantine Equations

Section

Contents