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A Glimpse on the Integer Solutions to the Hyperbola 8x2 = 5y2 + 27

Year: 2024

Type: article

Abstract: The hyperbolas given by 8x2 = 5y2 + 27 is considered to obtain its solutions in integers.Various relations amoung the solutions are exhibited.Using the known solutions of the equations in title hyperbolas,parabolas,special Pythagorean triangle and second order Ramanujan numbers are determind.Facinating properties involving figurate numbers are given.

Source: Advances in Nonlinear Variational Inequalities

DOI: 10.52783/anvi.v27.719

Author: R. Sathiyapriya

Institutions: Dhanalakshmi Srinivasan Group of Institutions, Dhanalakshmi Srinivasan University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404421844

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