Frontiers of Mathematics in China

, Volume 12, Issue 2, pp 261–280 | Cite as

Large sieve inequality with sparse sets of moduli applied to Goldbach conjecture

  • Claus Bauer
Research Article


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.


Three primes theorem exponential sums over primes sparse set of modules 


11F32 11F25 


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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Dolby LaboratoriesBeijingChina

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