12 citations · 67 across the 28 of their papers we have counts for
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On the Hardy-Littlewood-Chowla conjecture on average
Jared Duker Lichtman, Joni Teräväinen
There has been recent interest in a hybrid form of the celebrated conjectures of Hardy-Littlewood and of Chowla. We prove that for any and distinct integers $h_2,\ldot…
Translated sums of primitive sets
Jared Duker Lichtman
The Erdős primitive set conjecture states that the sum , ranging over any primitive set of positive integers, is maximized by the set of…
A modification of the linear sieve, and the count of twin primes
Jared Duker Lichtman
We introduce a modification of the linear sieve whose weights satisfy strong factorization properties, and consequently equidistribute primes up to size in arithmetic progressi…
Higher Mertens constants for almost primes
Jonathan Bayless, Paul Kinlaw, Jared Duker Lichtman
For , a -almost prime is a positive integer with exactly prime factors, counted with multiplicity. In this article we give elementary proofs of precise asymptotics fo…