MathDB
Miklos Schweitzer 1976_3

Source: number of divisors of n divides n

December 30, 2008
inequalitiesfunctionlogarithmsnumber theory proposednumber theory

Problem Statement

Let H H denote the set of those natural numbers for which τ(n) \tau(n) divides n n, where τ(n) \tau(n) is the number of divisors of n n. Show that a) n!∈H n! \in H for all sufficiently large n n, b)H H has density 0 0. P. Erdos
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