APPLICATION OF COMPUTER ALGEBRA IN SOLVING LINEAR DIOPHANTINE SYSTEMS

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HASHEMI AMIR

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

APPLICATION OF COMPUTER ALGEBRA IN SOLVING LINEAR DIOPHANTINE SYSTEMS

Author(s)

HASHEMI AMIR | Issue Writer Certificate

Keywords

DIOPHANTINE SYSTEMS

POLYNOMIAL IDEALS

GROBNER BASES

Abstract

IN THIS PAPER, WE PRESENT A NEW APPLICATION OF COMPUTER ALGEBRA TOOLS IN SOLVING DIOPHANTINE LINEAR SYSTEMS. IN DOING SO, WE PRESENT A NEW ALGORITHM TO DECIDE WHETHER OR NOT A GIVEN DIOPHANTINE LINEAR SYSTEM HAS AN INTEGER SOLUTION OR NOT; AND IF DOES, WE GIVE THE GENERAL SOLUTION OF THE SYSTEM.

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APA: Copy

HASHEMI, AMIR. (2013). APPLICATION OF COMPUTER ALGEBRA IN SOLVING LINEAR DIOPHANTINE SYSTEMS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/923936/en

Vancouver: Copy

HASHEMI AMIR. APPLICATION OF COMPUTER ALGEBRA IN SOLVING LINEAR DIOPHANTINE SYSTEMS. 2013. Available from: https://sid.ir/paper/923936/en

IEEE: Copy

AMIR HASHEMI, “APPLICATION OF COMPUTER ALGEBRA IN SOLVING LINEAR DIOPHANTINE SYSTEMS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/923936/en

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