Dimitris Koukoulopoulos

activity

20082026

most citedPretentious multiplicative functions and the prime number theorem for arithmetic progressions

25 citations · 200 across the 28 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.NT2023★ 1 cited

A lower bound on the mean value of the Erdős-Hooley Delta function

Kevin Ford, Dimitris Koukoulopoulos, Terence Tao

We give an improved lower bound for the average of the Erdős-Hooley function $Δ (n)$ , namely $\sum_{n \leq x} Δ (n) ≫_{ε} x (lo g lo g x)^{1 + η - ε}$ for all $x\geqslant…

math.NT2023★ 5 cited

An upper bound on the mean value of the Erdős-Hooley Delta function

Dimitris Koukoulopoulos, Terence Tao

The Erdős-Hooley Delta function is defined for $n \in N$ as $Δ (n) = sup_{u \in R} # {d ∣ n : e^{u} < d \leq e^{u + 1}}$ . We prove that $\sum_{n\le x} Δ(n) \ll x(\log\log x)^{1…