Work

ON THE SYSTEM OF DIOPHANTINE EQUATIONS x² − 7y² = 1 AND x = az² − b

Year: 2024

Type: article

Abstract: The quartic model of an elliptic curve represented by the system of Diophantine equations x 2 -7y 2 = 1 and x = az 2 -b , where a and b are integers, will be examined for integral solutions.In this work, the system of equations is solved using the algebraic number theory method.Solving a system of equations using the parameters 1 ≤ a ≤ 10 and 1 < b < 11 is an application.

Source: jnanabha

DOI: 10.58250/jnanabha.2024.54132

Authors: Radhika Das, Manju Somanath, V. A. Bindu

Institutions: Bharathidasan University, National College, Trichy

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4400567683

FWCI:

Cites:

Cited by:

Related to: 10