On an identity of Ramanujan
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- by John A. Ewell PDF
- Proc. Amer. Math. Soc. 125 (1997), 3769-3771 Request permission
Abstract:
An identity stated and utilized by Ramanujan in his now classic study of certain arithmetical functions is proved.References
- John A. Ewell, A formula for Ramanujan’s tau function, Proc. Amer. Math. Soc. 91 (1984), no. 1, 37–40. MR 735559, DOI 10.1090/S0002-9939-1984-0735559-9
- John A. Ewell, Arithmetical consequences of a sextuple product identity, Rocky Mountain J. Math. 25 (1995), no. 4, 1287–1293. MR 1371339, DOI 10.1216/rmjm/1181072146
- G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 5th ed., The Clarendon Press, Oxford University Press, New York, 1979. MR 568909
- S. Ramanujan, Collected papers, Chelsea, New York, 1962.
- R. Sivaramakrishnan, Classical theory of arithmetic functions, Monographs and Textbooks in Pure and Applied Mathematics, vol. 126, Marcel Dekker, Inc., New York, 1989. MR 980259
Additional Information
- John A. Ewell
- Affiliation: Department of Mathematics, Northern Illinois University, DeKalb, Illinois 60115
- Received by editor(s): October 10, 1996
- Communicated by: Dennis A. Hejhal
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3769-3771
- MSC (1991): Primary 11A25; Secondary 11B75
- DOI: https://doi.org/10.1090/S0002-9939-97-04281-0
- MathSciNet review: 1443383