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IJPMS > Volume 16 > Construction of a Special Integer Triplet-I
Construction of a Special Integer Triplet-I
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Construction of a Special Integer Triplet-I

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Abstract:

This paper is concerned with an interesting Diophantine problem on triplet. A search is made on finding three non-zero distinct integers namely a,b,c such that each of the expressions a + 2b, a + 2c is a perfect square and b − c is twice a cubical integer.Infinitely may such triplets are obtained.

Info:

Periodical:
International Journal of Pure Mathematical Sciences (Volume 16)
Pages:
24-29
DOI:
https://doi.org/10.18052/www.scipress.com/IJPMS.16.24
Citation:
S. Vidhyalakshmi et al., "Construction of a Special Integer Triplet-I", International Journal of Pure Mathematical Sciences, Vol. 16, pp. 24-29, 2016
Online since:
March 2016
Authors:
S. Vidhyalakshmi, E. Premalatha, R. Presenna, V. Krithika
Keywords:
A System of Linear Equations, Integer Solutions, Integer Triplet
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

[1] Andre weil, Number Theory: An Approach through History, From Hammurapito to Legendre, Birkahsuser, Boston, (1987).

[2] Bibhotibhusan Batta and Avadhesh Narayanan Singh, History of Hindu Mathematics, Asia Publishing House, (1938).

[3] Boyer C.B., A History of mathematics, John Wiley& sons Inc., newyork, (1968).

[4] Dickson L. E., History of Theory of Numbers, Vol. 11, Chelsea Publishing Company, New York (1952).

[5] Davenport, Harold, The higher Arithmetic: An Introduction to the Theory of Numbers(7th ed. ) Cambridge University Press, (1999).

[6] John Stilwell, Mathematics and its History, Springer Verlag, New York, (2004).

[7] James Matteson, M. D, A Collection of Diophantine problems with solutions", Washington, Artemas Martin, 1888.

[8] Titu andreescu, Dorin Andrica, An Introduction to Diophantine equations, GIL Publicating House, (2002).

DOI: https://doi.org/10.1007/978-0-8176-4549-6

[9] M.A. Gopalan, S. Vidhyalakshmi , N. Thiruniraiselvi, On two interesting problems, Impact J. Sci. Tech., Vol-9, No-3, 2015, 51-55.

[10] M.A. Gopalan, N. Thiruniraiselvi, A. Vijayasankar, On two interesting triple integer sequence, IJMA, Vol-6, No-10, 2015, 1-4.

[11] M.A. Gopalan , S. Vidhyalakshmi , N. Thiruniraiselvi, On interesting integer pairs, IJMRME., Vol-1, Iss-1, 2015, 320-323.

[12] M.A. Gopalan , S. Vidhyalakshmi , N. Thiruniraiselvi, An interesting rectangular problem, FJMMS., Vol-4, No-1, 2015, 35-39.

[13] M. AGopalan., S. Vidhyalakshmi., J. Shanthi., On Interesting Diophantine Problem, IJMRME., Vol-1, Iss-1, 2015, 168-170.

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