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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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On prime divisors of binomial coefficients
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by Pierre Goetgheluck PDF
Math. Comp. 51 (1988), 325-329 Request permission

Abstract:

This paper, using computational and theoretical methods, deals with prime divisors of binomial coefficients: Geometric distribution and number of distinct prime divisors are studied. We give a numerical result on a conjecture by Erdős on square divisors of binomial coefficients.
References
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  • P. Erdős, Some unconventional problems in number theory, Acta Math. Acad. Sci. Hungar. 33 (1979), no. 1-2, 71–80. MR 515121, DOI 10.1007/BF01903382
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  • P. Goetgheluck, Notes: Computing Binomial Coefficients, Amer. Math. Monthly 94 (1987), no. 4, 360–365. MR 1541073, DOI 10.2307/2323099
  • P. A. B. Pleasants, The number of prime factors of binomial coefficients, J. Number Theory 15 (1982), no. 2, 203–225. MR 675185, DOI 10.1016/0022-314X(82)90026-9
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Math. Comp. 51 (1988), 325-329
  • MSC: Primary 11B65; Secondary 11A51, 11Y05
  • DOI: https://doi.org/10.1090/S0025-5718-1988-0942159-6
  • MathSciNet review: 942159