Published April 30, 2024 | Version CC BY-NC-ND 4.0
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On Solving a Quadratic Diophantine Equation Involving Odd Powers of 17

Creators

  • 1. Associate Professor, Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Chennai (Tamil Nadu), India.

Contributors

Contact person:

  • 1. ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 0778, CDMX, México.
  • 2. Associate Professor, Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Chennai (Tamil Nadu), India.

Description

Abstract: Diophantine Equations named after ancient Greek mathematician Diophantus, plays a vital role not only in number theory but also in several branches of science. In this paper, we will solve one of the quadratic Diophantine equations where the right hand side are odd positive integral powers of 17 and provide its complete solutions. The method adopted to solve the given equation is using the concept of polar form of a particular complex number. This concept can be generalized for solving similar equations.

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Additional details

Identifiers

DOI
10.54105/ijam.A1165.04010424
EISSN
2582-8932

Dates

Accepted
2024-04-15
Manuscript received on 26 January 2024 | Revised Manuscript received on 06 February 2024 | Manuscript Accepted on 15 April 2024 | Manuscript published on 30 April 2024

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