On the Ternary Goldbach Problem with Primes in independent Arithmetic Progressions
نویسنده
چکیده
We show that for every fixed A > 0 and θ > 0 there is a θ = θ(A, θ) > 0 with the following property. Let n be odd and sufficiently large, and let Q1 = Q2 := n 1/2(log n)−θ and Q3 := (log n) θ. Then for all q3 ≤ Q3, all reduced residues a3 mod q3, almost all q2 ≤ Q2, all admissible residues a2 mod q2, almost all q1 ≤ Q1 and all admissible residues a1 mod q1, there exists a representation n = p1+p2+p3 with primes pi ≡ ai (qi), i = 1, 2, 3.
منابع مشابه
Chen’s Primes and Ternary Goldbach Problem
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