On the number of prime divisors of the iterates of the Carmichael function.
Square-free values of the Carmichael function.
A remark on a paper written by J. M. De Koninck and A. Ivić.
On the function .
On asymptotically correlated -multiplicative functions.
Some remarks on a paper of L. Tóth.
On oscillations of number-theoretic functions
A remark on number-theoretical functions
Distribution mod 1 of additive functions on the set of divisors
On sets characterizing number-theoretical functions
On sets characterizing number-theoretical functions (II) (The set of "prime plus one"'s is a set of quasi-uniqueness)
The Continuity of the Limiting Distribution of a Function of Two Additive Functions.
Primes with preassigned digits II
On the distribution of subsets of primes in the prime factorization of integers
Exponential sums involving the largest prime factor function
Normal numbers and the middle prime factor of an integer
Let pₘ(n) stand for the middle prime factor of the integer n ≥ 2. We first establish that the size of log pₘ(n) is close to √(log n) for almost all n. We then show how one can use the successive values of pₘ(n) to generate a normal number in any given base D ≥ 2. Finally, we study the behavior of exponential sums involving the middle prime factor function.
Shifted values of the largest prime factor function and its average value in short intervals
We obtain estimates for the average value of the largest prime factor P(n) in short intervals [x,x+y] and of h(P(n)+1), where h is a complex-valued additive function or multiplicative function satisfying certain conditions. Letting stand for the sum of the digits of n in base q ≥ 2, we show that if α is an irrational number, then the sequence is uniformly distributed modulo 1.
On the Coprimality of Some Arithmetic Functions
Metric properties of alternating Oppenheim expansions
On the counting function for the Niven numbers
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