60 citations · 281 across the 30 of their papers we have counts for
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math.NT2012★ 12 cited
On Character Sums and Exponential Sums over Generalized Arithmetic Progressions
Xuancheng Shao
We study upper bounds for sums of Dirichlet characters. We prove a uniform upper bound of the character sum over all proper generalized arithmetic progressions, which generalizes t…
math.NT2012★ 29 cited
A Density Version of the Vinogradov Three Primes Theorem
Xuancheng Shao
We prove that if A is a subset of the primes, and the lower density of A in the primes is larger than 5/8, then all sufficiently large odd positive integers can be written as the s…