Paul Kinlaw

most citedHigher Mertens constants for almost primes

5 citations · 5 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2023

Higher Mertens constants for almost primes II

Jonathan Bayless, Paul Kinlaw, Jared Duker Lichtman

For $k \geq 1$ , let $R_{k} (x)$ denote the reciprocal sum up to $x$ of numbers with $k$ prime factors, counted with multiplicity. In prior work, the authors obtained estimates for $R_k(x…

math.NT2021★ 5 cited

Higher Mertens constants for almost primes

Jonathan Bayless, Paul Kinlaw, Jared Duker Lichtman

For $k \geq 1$ , a $k$ -almost prime is a positive integer with exactly $k$ prime factors, counted with multiplicity. In this article we give elementary proofs of precise asymptotics fo…