New representations of Ramanujan’s tau function
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- by John A. Ewell PDF
- Proc. Amer. Math. Soc. 128 (2000), 723-726 Request permission
Abstract:
Several formulas for Ramanujan’s function $\tau$, defined by \[ x \prod _1^{\infty }(1-x^n)^{24}=\sum _1^{\infty } \tau (n) x^n \quad (\vert x \vert < 1), \] are presented. We also present a congruence modulo 3 for some of the function values.References
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Additional Information
- John A. Ewell
- Affiliation: Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115
- Received by editor(s): May 13, 1998
- Published electronically: July 28, 1999
- Communicated by: Dennis A. Hejhal
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 723-726
- MSC (1991): Primary 11A25; Secondary 11B75
- DOI: https://doi.org/10.1090/S0002-9939-99-05289-2
- MathSciNet review: 1657735