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An Integral Solution of Negative Pell’s equation involving two digit sphenic numbers

S. Vidhya1 , G. Janaki2

Section:Research Paper, Product Type: Journal Paper
Volume-6 , Issue-7 , Page no. 444-445, Jul-2018

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v6i7.444445

Online published on Jul 31, 2018

Copyright © S. Vidhya, 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: S. Vidhya, 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, 2018.

MLA Style Citation: S. Vidhya, G. Janaki "An Integral Solution of Negative Pell’s equation involving two digit sphenic numbers." International Journal of Computer Sciences and Engineering 6.7 (2018): 444-445.

APA Style Citation: S. Vidhya, G. Janaki, (2018). An Integral Solution of Negative Pell’s equation involving two digit sphenic numbers. International Journal of Computer Sciences and Engineering, 6(7), 444-445.

BibTex Style Citation:
@article{Vidhya_2018,
author = {S. Vidhya, G. Janaki},
title = {An Integral Solution of Negative Pell’s equation involving two digit sphenic numbers},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {7 2018},
volume = {6},
Issue = {7},
month = {7},
year = {2018},
issn = {2347-2693},
pages = {444-445},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=2454},
doi = {https://doi.org/10.26438/ijcse/v6i7.444445}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i7.444445}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=2454
TI - An Integral Solution of Negative Pell’s equation involving two digit sphenic numbers
T2 - International Journal of Computer Sciences and Engineering
AU - S. Vidhya, G. Janaki
PY - 2018
DA - 2018/07/31
PB - IJCSE, Indore, INDIA
SP - 444-445
IS - 7
VL - 6
SN - 2347-2693
ER -

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Abstract

We look for figuring out non-trivial integral solutions of the negative Pell’s equation involving two digit sphenic numbers 30 and 66 for the choice of odd integers including zero. We find some interesting recurrence relations using the solutions.

Key-Words / Index Term

Pell equation, Integer Solutions, 2 digit sphenic numbers

References

[1] John Stillwell, “Elements of Number theory”, Springer – Verlag, New York, 2003.
[2] Kenneth Ireland and Michael Rosen, “A Classical introduction to Modern Number Theory”, Springer – Verlag, New York, 1990.
[3] L.E.Dickson, “History of Theory of Numbers”, Chelsea Publishing Company, New York, 1952.
[4] L.J.Mordell, “Diophantine equations”, Academic Press, New York, 1969.
[5] S.G.Telang, “Number Theory”, Tata McGraw-Hill Publishing Company Limited, New Delhi, 1996.
[6] M.A.Gopalan and G.Janaki “Observation on ”, Acta Ciencia Indica, Vol.34, Issue.2, pp-693, 2008.
[7] G.Janaki and S.Vidhya, “On the integer solutions of the Pell equation ”, International Journal of Scientific Research in Science, Engineering and Technology, Vol.2, Issue.2, pp.1195-1197, 2016.
[8] G.Janaki and S.Vidhya, “On the integer solutions of the Pell equation ”, International Journal of Multidisciplinary Research and Development, Vol.3, Issue.5, pp.39-42, 2016.
[9] G.Janaki and S.Vidhya, “On the negative Pell equation ”, International Journal of Applied Research, Vol.2, Issue.11, pp.462-466, 2016.