A Collection of Special Quinary Quintic Diophantine Equations with Integer Solutions

Authors

  • Dr. M. A. Gopalan Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Tiruchirapalli -620 002, Tamil Nadu, India.
  • Dr. N. Thiruniraiselvi Department of Mathematics, M.A.M. College of Engineering and Technology, Affiliated to Anna University (Chennai), Siruganur, Tiruchirapalli – 621105, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/mono/978-93-48388-16-2

Keywords:

Homogeneous quintic equation, non-homogeneous quintic equation, quinary quintic equation, integer solutions, substitution technique, factorization method

Abstract

A reasonable collection of special homogeneous and non-homogeneous Quintic Diophantine problems in five variables is considered. The process of getting different sets of integer solutions to each of the quintic Diophantine equations in the above collection is illustrated. Substitution technique and factorization method are utilized to find patterns of integer solutions to each of the quintic Diophantine equations given in the above collection of problems.

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Published

2024-11-12

How to Cite

Dr. M. A. Gopalan, & Dr. N. Thiruniraiselvi. (2024). A Collection of Special Quinary Quintic Diophantine Equations with Integer Solutions. A Collection of Special Quinary Quintic Diophantine Equations With Integer Solutions, Edition 1, 1–106. https://doi.org/10.9734/bpi/mono/978-93-48388-16-2

Issue

A Collection of Special Quinary Quintic Diophantine Equations with Integer Solutions, Edition 1

Section

Content