12 citations · 67 across the 28 of their papers we have counts for
4 papers · 1 filter
The Bombieri-Pila determinant method
Thomas F. Bloom, Jared Duker Lichtman
We give a concise and accessible introduction to the real-analytic determinant method for counting integral points on algebraic curves, based on the classic 1989 paper of Bombieri…
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 using triply well-factorable weights. This gives the highest level of distribution for primes in any setting, im…
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…
On Erdős sums of almost primes
Ofir Gorodetsky, Jared Duker Lichtman, Mo Dick Wong
In 1935, Erdős proved that the sums , over integers with exactly prime factors, are bounded by an absolute constant, and in 1993 Zhang proved that $…