Full Paper View Go Back
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.
View this paper at Google Scholar | DPI Digital Library
How to Cite this Paper
- IEEE Citation
- MLA Citation
- APA Citation
- BibTex Citation
- RIS Citation
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 -
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.
You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at support@isroset.org or view contact page for more details.