On the Integer Solution of the Transcendental Equation
Sriram S1, Veeramallan P2
1Sriram S, Assistant Professor, National College (Affiliated to Bharathidasan University), Tiruchirappalli (Tamil Nadu), India.
2Veeramallan P, P.G Assistant, Department of Mathematics, GHSS, Yethapur, Salem (Tamil Nadu), India (Part-time Research Scholar, National College (Affiliated to Bharathidasan University), Tiruchirappalli.
Manuscript received on 08 March 2022 | Revised Manuscript received on 20 March 2022 | Manuscript Accepted on 15 April 2022 | Manuscript published on 30 April 2022 | PP: 1-4 | Volume-2 Issue-1, April 2022 | Retrieval Number:100.1/ijam.C1120041322 | DOI: 10.54105/ijam.C1120.041322
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Abstract: Let C be a positive non-square integer. In this paper, we look at the complete solutions of the Transcendental equation 
, where 𝒙𝟐−𝑪𝒚𝟐=𝜶𝟐 or 𝟐𝟐𝒕. In addition, we find repeated relationships in the solutions to this figure.
Keywords: Transcendental equation, Pell equation, Diophantine equations, AMS Subject Classification: 11J70, 11J81, 11D45, 11A55, 11Y65
Scope of the Article: Number Theory