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math.NT2026
Density Bounds in Hua's Theorem for Prime Squares
Michael T. Lacey, Hamed Mousavi, Yaghoub Rahimi +1
We prove a density version of Hua's theorem in the five-variable case: if is a subset of the primes with relative lower density greater than , then every suffici…
math.NT2024
A Density Theorem for Higher Order Sums of Prime Numbers
Michael T. Lacey, Hamed Mousavi, Yaghoub Rahimi +1
Let be a subset of the primes of lower density strictly larger than . Then, every sufficiently large even integer is a sum of four primes from the set . We establis…