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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 ,
Chandrashekar Adiga  and
D.D. Somashekara
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
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 1 , August 1991 , pp. 149 - 154
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