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Solutions of Pell’s Equation Involving Jarasandha Numbers

C.Saranya 1 , G.Janaki 2

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.234-236, Feb-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.234236


Online published on Feb 28, 2019


Copyright © C.Saranya, G.Janaki . 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, G.Janaki, “Solutions of Pell’s Equation Involving Jarasandha Numbers,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.1, pp.234-236, 2019.

MLA Style Citation: C.Saranya, G.Janaki "Solutions of Pell’s Equation Involving Jarasandha Numbers." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.1 (2019): 234-236.

APA Style Citation: C.Saranya, G.Janaki, (2019). Solutions of Pell’s Equation Involving Jarasandha Numbers. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(1), 234-236.

BibTex Style Citation:
@article{_2019,
author = {C.Saranya, G.Janaki},
title = {Solutions of Pell’s Equation Involving Jarasandha Numbers},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2019},
volume = {6},
Issue = {1},
month = {2},
year = {2019},
issn = {2347-2693},
pages = {234-236},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1166},
doi = {https://doi.org/10.26438/ijcse/v6i1.234236}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i1.234236}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1166
TI - Solutions of Pell’s Equation Involving Jarasandha Numbers
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - C.Saranya, G.Janaki
PY - 2019
DA - 2019/02/28
PB - IJCSE, Indore, INDIA
SP - 234-236
IS - 1
VL - 6
SN - 2347-2693
ER -

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Abstract :
We look for discovering non-trivial integer solutions to the pell’s equation involving jarasandha numbers. Also, we acquire the recurrence relations among the solutions.

Key-Words / Index Term :
Jarasandha numbers, Pell’s equation, brahmagupta lemma

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, Newyork, 1981.
[4] H.W.Lenstra Jr, “Solving the pell equation”, Notice of the American Mathematical society, Vol 49, No.2, Pp: 182-192. Feb 2002.
[5] G.Janaki and C.Saranya, “Special Pairs of Pythagorean Triangles and Jarasandha Numbers”, American International Journal of Research in Science, Technology, Engineering & Mathematics, issue-13, 118-120, Dec 2015-Feb 2016.
[6] G.Janaki and C.Saranya, “Special Rectangles and Jarasandha Numbers”, Bulletin of Mathematics and Statistics Research, vol-4, issue-2, 63-67, Apr-June 2016.
[7] G.Janaki and C.Saranya, “Special Pairs of Rectangles and Jarasandha Numbers”, Asian Journal of Science & Technology, vol-7, issue-5, 3015-3017, May 2016.
[8] G.Janaki and C.Saranya, “Pythagorean Triangle with area/perimeter as a Jarasandha Number of orders 2 & 4”, International Research Journal of Engineering and Technology, vol 3, issue 7, 1259-1264, July 2016.
[9] S.Vidhya and G.Janaki, “An Integral solution of negative pell’s equation involving two digit sphenic numbers”, International Journal of computer sciences and engineering, vol 6, Issue 7, Pp: 444-445, July 2018.

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