Gaps between consecutive divisors of factorials. (English) Zbl 0790.11007

Berend, D.; Harmse, J. E.

Ann. Inst. Fourier 43, No. 3, 569-583 (1993).

The set of all divisors of \(n!\), ordered according to increasing magnitude, is considered, and an upper bound on the gaps between consecutive ones is obtained. We are especially interested in the divisors nearest \(\sqrt{n!}\) and obtain a lower bound on their distance.

Reviewer: J.E.Harmse (Austin)

MSC:

11B05	Density, gaps, topology
11B65	Binomial coefficients; factorials; \(q\)-identities

Keywords:

consecutive divisors of factorials; gaps between divisors; divisor sequences; upper bounds; lower bounds

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