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A remarkable identity found in Ramanujan's third notebook

Published online by Cambridge University Press:  18 May 2009

Bruce C. Berndt  and
S. Bhargava
Bruce C. Berndt
Affiliation:
Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, Illinois 61801, U.S.A.
S. Bhargava
Affiliation:
Department of Mathematics, University of Mysore, Manasa Gangotri, Mysore 570006, India
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Ramanujan's short third notebook contains 33 pages of unorganized material. On page 386 of the third notebook, in the pagination of the Tata Institute's publication [3], Ramanujan offers the following remarkable identity.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 3 , September 1992 , pp. 341 - 345
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

REFERENCES

1.Berndt, B. C., Ramanujan's Notebooks, Part IV, Springer-Verlag, New York, to appear.Google Scholar
2.Dickson, L. E., History of the Theory of Numbers, vol. II, Chelsea, New York, 1952.Google Scholar
3.Ramanujan, S., Notebooks, Vol. 2, Tata Institute of Fundamental Research, Bombay, 1957.Google Scholar