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Dio- Triples Involving Pentagonal Pyramidal Numbers

C. Saranya1 , E. Mahalakshmi2

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.6 , pp.46-48, Dec-2021


Online published on Dec 31, 2021


Copyright © C. Saranya, E. Mahalakshmi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: C. Saranya, E. Mahalakshmi, “Dio- Triples Involving Pentagonal Pyramidal Numbers,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.8, Issue.6, pp.46-48, 2021.

MLA Style Citation: C. Saranya, E. Mahalakshmi "Dio- Triples Involving Pentagonal Pyramidal Numbers." International Journal of Scientific Research in Mathematical and Statistical Sciences 8.6 (2021): 46-48.

APA Style Citation: C. Saranya, E. Mahalakshmi, (2021). Dio- Triples Involving Pentagonal Pyramidal Numbers. International Journal of Scientific Research in Mathematical and Statistical Sciences, 8(6), 46-48.

BibTex Style Citation:
@article{Saranya_2021,
author = {C. Saranya, E. Mahalakshmi},
title = {Dio- Triples Involving Pentagonal Pyramidal Numbers},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2021},
volume = {8},
Issue = {6},
month = {12},
year = {2021},
issn = {2347-2693},
pages = {46-48},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2651},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2651
TI - Dio- Triples Involving Pentagonal Pyramidal Numbers
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - C. Saranya, E. Mahalakshmi
PY - 2021
DA - 2021/12/31
PB - IJCSE, Indore, INDIA
SP - 46-48
IS - 6
VL - 8
SN - 2347-2693
ER -

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Abstract :
We scrutinize for three particular polynomials with integer coefficients to such an extent that the result of any two numbers expanded by a non-zero number (or polynomials with number coefficients) is an ideal square.

Key-Words / Index Term :
Diophantine triples, Pentagonal Pyramidal number, Polynomials & Perfect square

References :
[1] R.D.Carmichael, “History of Theory of numbers and Diophantine Analysis”, Dover Publication, New york, 1959.
[2] L.J.Mordell, “Diophantine equations”, Academic press, London, 1969.
[3] T.Nagell, “Introduction to Number theory”, Chelsea publishing company, New york, 1981.
[4] L.K.Hua, “Introduction to the Theory of Numbers”, Springer-Verlag, Berlin-New york, 1982.
[5] Oistein Ore, “Number theory and its History”, Dover publications, New york, 1988.
[6] H.John, Conway and Richard K.Guy, “The Book of Numbers”, Springer-verlag, New york, 1995.
[7] Y.Fujita , “The extendability of Diphantine pairs ”, Journal of Number Theory, 128, 322-353, 2008.
[8] M.A. Gopalan and V.Pandichelvi , “On the extendability of the Diophantine triple involving Jacobsthal numbers ”, International Journal of Mathematics & Applications, 2(1), 1-3, 2009.
[9] G.Janaki and S.Vidhya, “Construction of the diophantine triple involving stella octangula number, Journal of Mathematics and Informatics, vol.10, Special issue, 89-93, Dec 2017.
[10] G.Janaki and C.Saranya, “Special Dio 3-tuples for pentatope number”, Journal of Mathematics and Informatics, vol.11, Special issue, 119-123, Dec 2017.
[11] G.Janaki and C.Saranya, “Construction of The Diophantine Triple involving Pentatope Number”, International Journal for Research in Applied Science & Engineering Technology, vol.6, Issue III, March 2018.
[12] C.Saranya, and G.Janaki., “Some Non-extendable Diophantine Triples involving centered square numbers”, International Journal of Scientific Research in Mathematical and Statistical Sciences, vol 6, Issue 6, 105-107, 2019
[13] Saranya C., and Janaki G, “Half companion sequences of special dio 3-tuples involving centered square numbers”, International Journal for Recent Technology and Engineering, vol.8, issue 3, 3843-3845, 2019.

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