Call for Paper - May 2015 Edition
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Study of Some Properties of Squares of Whole Numbers
International Journal of Computer Applications
© 2015 by IJCA Journal
Volume 112 - Number 16
Year of Publication: 2015
|
10.5120/19748-1274 |
Rupam Goswami, Pijus Kanti De and Basab Das. Article: Study of Some Properties of Squares of Whole Numbers. International Journal of Computer Applications 112(16):4-9, February 2015. Full text available. BibTeX
@article{key:article,
author = {Rupam Goswami and Pijus Kanti De and Basab Das},
title = {Article: Study of Some Properties of Squares of Whole Numbers},
journal = {International Journal of Computer Applications},
year = {2015},
volume = {112},
number = {16},
pages = {4-9},
month = {February},
note = {Full text available}
}
Abstract
In this paper, some important properties of squares of whole numbers are reported. An algorithm is presented to show the results that involve the differences between squares of whole numbers and multiples of five closest to the corresponding squares. Also, such kind of difference has a sequence, 0, 1, -1, -1, 1, which is followed for every five consecutive whole numbers starting from 0. The algorithm thus developed, has been demonstrated with some numerical examples, and graphical deductions.
References
- Koshy, T. 2007. Elementary Number Theory with Applications. Academic Press
- Dudley, U. 1969 Elementary Number Theory. W H Freeman and Company
- Niven, I. , Zuckerman, H. S. , and Montgomery, H. L. 1991 An Introduction to the Theory of Numbers. John Wiley & Sons, Inc.
- Aires, A. P. , Catarino, P. , Campos, H. , Borges, A. , and Vasco, P. 2014 s-Generalized Fibonacci Numbers: Some Identities, a Generating Function and Pythagorean Triples Int. J. Math. Anal. 8, 1757-1766
- Hardy, G. H. and Wright, E. M. 1975 An Introduction to the Theory of Numbers. Oxford University Press
- Yokota, H. 2010 Solution of polynomial Pell's equation. J. Number Theor. 130 (Sep. , 2010), 2003-2010
- Goins, E. and Togbe, A. 2007 On Pythagorean Quadruples. Int. J. Pure Appl. Math. 35 , 365-374
- Halmos, P. R. 1974 Naïve Set Theory. Springer-Verlag
- Ribenboim, P. 1996 Catalan's Conjecture. Amer. Math. Monthly 103 (Aug. – Sep. , 1996), 529-538
- Jones, G. A. and Jones, M. A. 2004 Elementary Number Theory. Springer London
- Nathanson, M. B. 2000 Elementary Methods in Number Theory. Springer New York