Waring–Goldbach problem with Piatetski-Shapiro primes

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Akbal Y., Güloğlu A. M.

Journal de Theorie des Nombres de Bordeaux, cilt.30, sa.2, ss.449-467, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.5802/jtnb.1033
  • Dergi Adı: Journal de Theorie des Nombres de Bordeaux
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.449-467
  • Anahtar Kelimeler: Circle method, Exponential sums, Piatetski-Shapiro primes, van der Corput’s method, Vinogradov’s mean value theorem, Waring-Goldbach problem, Weyl sums
  • TED Üniversitesi Adresli: Hayır

Özet

In this paper, we exhibit an asymptotic formula for the number of representations of a large integer as a sum of a fixed power of Piatetski-Shapiro primes, thereby establishing a variant of Waring–Goldbach problem with primes from a sparse sequence.