On Waring–Goldbach problem with Piatetski-Shapiro primes
Journal of Number Theory, cilt.185, ss.80-92, 2018 (SCI-Expanded, Scopus)
- 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.