On Some Methods for Solution of Linear Diophantine Equations

The paper considers a linear Diophantine equation. A method (algorithm) for finding a general class of solutions of equation is proposed. The proposed algorithm is explained by examples of equations with two and three variables, trying to direct the reader to a general idea that describes the essenc...

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Main Authors: Azam Imomov, Yorqin T. Khodjaev
Format: Article
Language:English
Published: Emrah Evren KARA 2020-06-01
Series:Universal Journal of Mathematics and Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1162422
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author Azam Imomov
Yorqin T. Khodjaev
author_facet Azam Imomov
Yorqin T. Khodjaev
author_sort Azam Imomov
collection DOAJ
description The paper considers a linear Diophantine equation. A method (algorithm) for finding a general class of solutions of equation is proposed. The proposed algorithm is explained by examples of equations with two and three variables, trying to direct the reader to a general idea that describes the essence of the method used.
first_indexed 2024-03-08T12:41:33Z
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issn 2619-9653
language English
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spelling doaj.art-a68782c71b4a4bc699a4f8dddc066a492024-01-21T09:51:52ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532020-06-0132869210.32323/ujma.6417441225On Some Methods for Solution of Linear Diophantine EquationsAzam Imomov0Yorqin T. Khodjaev1Karshi State UniversityKarshi State University, 17 Kuchabag Street, 100180 Karshi City, UzbekistanThe paper considers a linear Diophantine equation. A method (algorithm) for finding a general class of solutions of equation is proposed. The proposed algorithm is explained by examples of equations with two and three variables, trying to direct the reader to a general idea that describes the essence of the method used.https://dergipark.org.tr/tr/download/article-file/1162422diophantine equationgeneral solution
spellingShingle Azam Imomov
Yorqin T. Khodjaev
On Some Methods for Solution of Linear Diophantine Equations
Universal Journal of Mathematics and Applications
diophantine equation
general solution
title On Some Methods for Solution of Linear Diophantine Equations
title_full On Some Methods for Solution of Linear Diophantine Equations
title_fullStr On Some Methods for Solution of Linear Diophantine Equations
title_full_unstemmed On Some Methods for Solution of Linear Diophantine Equations
title_short On Some Methods for Solution of Linear Diophantine Equations
title_sort on some methods for solution of linear diophantine equations
topic diophantine equation
general solution
url https://dergipark.org.tr/tr/download/article-file/1162422
work_keys_str_mv AT azamimomov onsomemethodsforsolutionoflineardiophantineequations
AT yorqintkhodjaev onsomemethodsforsolutionoflineardiophantineequations