On a formula of A. C. Dixon
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- by T. S. Nanjundiah
- Proc. Amer. Math. Soc. 9 (1958), 308-311
- DOI: https://doi.org/10.1090/S0002-9939-1958-0103291-5
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References
- A. C. Dixon, On the sum of the cubes of the coefficients in a certain expansion by the binomial theorem, Messenger of Mathematics vol. 20 (1891) pp. 79-80.
G. H. Hardy, Ramanujan, Cambridge, 1940, p. 7.
- Wilhelm Ljunggren, An elementary proof of a formula of A. C. Dixon, Norsk Mat. Tidsskr. 29 (1947), 35–38 (Norwegian). MR 22817 P. A. MacMahon, The sums of powers of the binomial coefficients, Quart. J. Math. vol. 33 (1902) pp. 274-288. H. W. Richmond, The sum of the cubes of the coefficients in ${(1 - x)^{2n}}$, Messenger of Mathematics vol. 21 (1892) pp. 77-78.
- Tor B. Staver, On summation of powers of binomial coefficients, Norsk Mat. Tidsskr. 29 (1947), 97–103 (Norwegian). MR 24874
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 308-311
- MSC: Primary 33.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0103291-5
- MathSciNet review: 0103291