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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Emrah Evren KARA
2020-06-01
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Series: | Universal Journal of Mathematics and Applications |
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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 |
format | Article |
id | doaj.art-a68782c71b4a4bc699a4f8dddc066a49 |
institution | Directory Open Access Journal |
issn | 2619-9653 |
language | English |
last_indexed | 2024-03-08T12:41:33Z |
publishDate | 2020-06-01 |
publisher | Emrah Evren KARA |
record_format | Article |
series | Universal Journal of Mathematics and Applications |
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 |