TESTING THE ELONGATION OF 3-TUPLES RELATING TO POLYNOMIALS AND POLYGONAL NUMBERS WITH PECULIAR PROCLAMATION


V. Pandichelvi, B. Umamaheswari
1. Department of Mathematics, Urumu Dhanalakshmi College, Trichy, 2. Department of Mathematics, Meenakshi College of Engineering, Chennai
Abstract
In this paper, special 2-tuples with elements stand well-known polynomials and polygonal numbers with different sides that exclusively meet the property that the summation or difference of two elements provides a square can be stretched to 3-tuples but not 4-tuples with the same characteristics are displayed. Also, the similar characteristics of all such 3-tuples are checked with numerical values by Python programs.
Keywords: Diophantine m-tuples, Congruence relations, polygonal numbers, polynomials
Journal Name :
EPRA International Journal of Multidisciplinary Research (IJMR)

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Published on : 2024-06-17

Vol : 10
Issue : 6
Month : June
Year : 2024
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