C1120041322

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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.

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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 𝒙^𝟐−𝑪𝒚^𝟐=𝜶^𝟐 or 𝟐^𝟐𝒕. 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

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Volume-2 Issue-1, April 2022 – Indian Journal of Advanced Mathematics (IJAM)

C1120041322