On Waring–Goldbach problem with Piatetski-Shapiro primes

Akbal Y., Güloğlu A. M.

Journal of Number Theory, cilt.185, ss.80-92, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 185
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.jnt.2017.09.018
  • Dergi Adı: Journal of Number Theory
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.80-92
  • Anahtar Kelimeler: Circle method, Exponential sums, Piatetski-Shapiro, van der Corput, Waring–Goldbach, Weyl sums
  • TED Üniversitesi Adresli: Hayır

Özet

In this paper, we show that all sufficiently large natural numbers satisfying certain local conditions can be written as the sum of kth powers of Piatetski-Shapiro primes, thereby establishing a variant of Waring–Goldbach problem with primes from a sparse sequence.