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math.NT2019★ 11 cited
Almost primes and the Banks-Martin conjecture
Jared Duker Lichtman
It has been known since Erdos that the sum of over numbers with exactly prime factors (with repetition) is bounded as varies. We prove that as tends t…
math.NT2019★ 2 cited
A Refined Conjecture for the Variance of Gaussian Primes Across Sectors
Ryan C. Chen, Yujin H. Kim, Jared D. Lichtman +6
We derive a refined conjecture for the variance of Gaussian primes across sectors, with a power saving error term, by applying the L-functions Ratios Conjecture. We observe a bifur…