Journal of the Ramanujan Mathematical Society

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Properties of Tribes of Farey Fractions


Affiliations
1 Department of Mathematics, Bangalore University, Bangalore-560 001, India
2 S.Nijalingappa College, Bangalore-56O 001, India
     

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We associate characteristic equations with a Farey fraction and define fundamental solutions for them. The concept of a tribe is defined for the fraction with the help of these solutions, and some interesting results about these tribes are obtained. We also study the nature of symmetrical elements about a fraction.

Keywords

Farey Fractions, Tribe of Farey Fractions, Properties of Tribes.
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  • Properties of Tribes of Farey Fractions

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Authors

M. Nagaraj
Department of Mathematics, Bangalore University, Bangalore-560 001, India
R. Srinivasa Murthy
S.Nijalingappa College, Bangalore-56O 001, India

Abstract


We associate characteristic equations with a Farey fraction and define fundamental solutions for them. The concept of a tribe is defined for the fraction with the help of these solutions, and some interesting results about these tribes are obtained. We also study the nature of symmetrical elements about a fraction.

Keywords


Farey Fractions, Tribe of Farey Fractions, Properties of Tribes.