Large sieve inequality with sparse sets of moduli applied to Goldbach conjecture
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- Bauer, C. Front. Math. China (2017) 12: 261. doi:10.1007/s11464-016-0527-x
We use the large sieve inequality with sparse sets of moduli to prove a new estimate for exponential sums over primes. Subsequently, we apply this estimate to establish new results on the binary Goldbach problem where the primes are restricted to given arithmetic progressions.