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An estimate of Ramanujan related to the greatest integer function

Published online by Cambridge University Press:  17 April 2009

S. Bhargava
Affiliation:
Department of Mathematics Manasa, Gangotri University of Mysore, Mysore 570006, India
Chandrashekar Adiga
Affiliation:
Department of Mathematics, Yuvaraja's College University of Mysore, Mysore 570005, India
D.D. Somashekara
Affiliation:
Department of Mathematics, Yovaraja’s College University of Mysore, Mysore 570005, India
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Abstract

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If a and n are positive integers and if ⌊⌋ is the greatest integer function we obtain upper and lower estimates for stated by Ramanujan in his notebooks.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Berndt, B.C., Ramanujan’s notebooks Parta I-III (Springer-Verlag, Berlin, Heidelberg, New York, 1985, 1988).CrossRefGoogle Scholar
[2]Berndt, B.C. (Private communication).Google Scholar
[3]Niven, I. and Zuckerman, H.S., An introduction to the theory of numbers, (third edition) (Wiley, New York, 1972).Google Scholar
[4]Ramanujan, S., Notebooks (2 volumes) (Tata Institute of Fundamental Research, Bombay, 1957).Google Scholar