25 citations · 200 across the 28 of their papers we have counts for
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math.NT2011★ 8 cited
On multiplicative functions which are small on average
Dimitris Koukoulopoulos
Let be a completely multiplicative function that assumes values inside the unit disc. We show that if , , for some , then either $f(…
math.NT2011★ 3 cited
On the concentration of certain additive functions
Dimitris Koukoulopoulos
We study the concentration of the distribution of an additive function, when the sequence of prime values of decays fast and has good spacing properties. In particular, we prov…
math.NT2011★ 8 cited
On the number of integers in a generalized multiplication table
Dimitris Koukoulopoulos
Motivated by the Erdos multiplication table problem we study the following question: Given numbers N_1,...,N_{k+1}, how many distinct products of the form n_1...n_{k+1} with n_i<N_…