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math.NT2013★ 1 cited
A New Proof of Vinogradov's Three Primes Theorem
Xuancheng Shao
We give a new proof of Vinogradov's three primes theorem, which asserts that all sufficiently large odd positive integers can be written as the sum of three primes. Existing proofs…
math.NT2013★ 4 cited
Character sums over unions of intervals
Xuancheng Shao
We obtain a Burgess-type bound for character sums over unions of intervals. The result follows from the argument of Heath-Brown, with an improvement in one of the steps.