Jared Duker Lichtman

collaborators

2 papers

math.NT2023

Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier

Jared Duker Lichtman

We show the primes have level of distribution $66/107 \approx 0.617$ using triply well-factorable weights. This gives the highest level of distribution for primes in any setting, im…

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…