Arithmetic functions associated with infinitary divisors of an integer

There have been a number of papers that have discussed arithmetic properties of ϕ(n), many of these inspired by the seminal paper of Erd˝ os [5] from 1935.. In particular,

For a positive integer n, let ϕ(n) denote the Euler function of n, and let τ (n), ω(n) and Ω(n) denote the number of divisors of n, the number of prime divisors of n, and the number

de Bruijn, ‘On the number of positive integers ≤ x and free of prime factors > y’, Nederl.. Chakrabarti,

A consequence of this perspective of woman directors being appointed as part of the symbolic management of the independence of the board is that, when these directors lose

(DM, 1984); this technique could not evaluate a model strong enough to admit maximum likelihood estimators, with complete information for the case were the number of choices

Further, by showing that v τ is a modular unit over Z we give a new proof of the fact that the singular values of v τ are units at all imaginary quadratic arguments and obtain

 When the numerical expression contains a unit, the function Precision will first convert the expression to the corresponding base unit, before evaluating the function itself..