Proves asymptotic for the number of ternary Goldbach representations of large odd N with one prime bounded by U = N^{4/49} exp(log^{2/3+ε}N) unconditionally or log^{4+ε}N under GRH.
Apostol, Introduction to Analytic Number Theory, Springer, New York (2013)
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Refinements of equidistribution for polynomial systems over F_p with bounds on ball discrepancy and variance under Weyl sum assumptions.
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On the Goldbach problem with restricted primes
Proves asymptotic for the number of ternary Goldbach representations of large odd N with one prime bounded by U = N^{4/49} exp(log^{2/3+ε}N) unconditionally or log^{4+ε}N under GRH.
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Distribution of solutions to systems of congruences in balls
Refinements of equidistribution for polynomial systems over F_p with bounds on ball discrepancy and variance under Weyl sum assumptions.