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math.NT2023
Higher Mertens constants for almost primes II
Jonathan Bayless, Paul Kinlaw, Jared Duker Lichtman
For , let denote the reciprocal sum up to of numbers with 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 , 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…