Certain properties of pyramidal and figurate numbers
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References
- J. C. P. Miller and M. F. C. Woollett, Solutions of the Diophantine equation $x^3+y^3+z^3=k$, J. London Math. Soc. 30 (1955), 101–110. MR 67916, DOI 10.1112/jlms/s1-30.1.101 L. Dickson, History of the Theory of Numbers, v. 2, Chap. 1. (Reprint: Stechert, New York, 1934). S. Chowla and others, “The Diophantine equation ${x^3} + {y^3} + {z^3} = x + y + z$,” submitted to Norske Vid. Selsk. Forh. Trondheim. S. Segal, “A note on pyramidal numbers,” American Math. Monthly, (in press).
- Światomir Ząbek, Sur la périodicité modulo $m$ des suites de nombres ${n\choose k}$, Ann. Univ. Mariae Curie-Skłodowska Sect. A 10 (1956), 37–47 (1958) (French, with Russian and Polish summaries). MR 95147
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Math. Comp. 16 (1962), 482-486
- MSC: Primary 10.05
- DOI: https://doi.org/10.1090/S0025-5718-1962-0148608-X
- MathSciNet review: 0148608