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Sums associated with Farey series

Published online by Cambridge University Press:  24 October 2008

M. M Robertson
M. M Robertson
Affiliation:
Department of Mathematics, University of Surrey, London
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Extract

We let h1/k1,h2/k2…hN(n)/kN(n)represent the Farey series of order n. It is well known that

Recently, Gupta (l) proved that

and Hans and Chander (2) proved that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 393 - 398
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Gupta, H.An identity. Res. Bull. Panjab Univ. 15 (1964), 347–349.Google Scholar
(2)Hans, R. J. and Chander, V.An interesting identity. Res. Bull Panjab Univ. 15 (1964), 353–356.Google Scholar
(3)Niven, I. and Zuckerman, H. S.An introduction to the theory of numbers, 2nd ed. (Wiley, 1966).Google Scholar