Farey Matrix

A. Gnanam; M.A. Gopalan; C. Dinesh

doi:https://doi.org/10.14445/22315373/IJMTT-V19P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 19 | Number 1 | Year 2015 | Article Id. IJMTT-V19P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P501

Farey Matrix

A. Gnanam, M.A. Gopalan, C. Dinesh

Abstract

We define two new sequences, namely Farey N-Subsequence and Modified Farey N-Subsequence. Also, we introduce the concept of Farey graph and Farey matrix from Farey sequence and present a few observations.

Keywords

Farey Sequence, Farey subsequence, Farey fractions, Farey graph, Farey matrix.

References

[1] Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery,An Introduction to The Theory of Numbers(Fifth Edition), Wiley-India Edition 2011.
[2] JozsefSandor, Dragoslav S. Mitrinovic and BorislaCrstici, Handbook of Number Theory I, Springer 2006.
[3] Don Redmond, Number Theory An Introduction, Marcel Dekker, Inc. 1996.
[4] Jin HoKwak, Sungpyo Hong, Linear Algebra, Springer International Edition 2010.
[5] G.H. Hardy and E.M. Wright, An Introduction to The Theory of Numbers (Fourth Edition), Oxford at The Clarendon Press 1975.

Citation :

A. Gnanam, M.A. Gopalan, C. Dinesh, "Farey Matrix," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 1, pp. 1-6, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P501