Copy For Citation
Akbal Y., Güloğlu A. M.
Journal of Number Theory, vol.185, pp.80-92, 2018 (SCI-Expanded)
-
Publication Type:
Article / Article
-
Volume:
185
-
Publication Date:
2018
-
Doi Number:
10.1016/j.jnt.2017.09.018
-
Journal Name:
Journal of Number Theory
-
Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
-
Page Numbers:
pp.80-92
-
Keywords:
Circle method, Exponential sums, Piatetski-Shapiro, van der Corput, Waring–Goldbach, Weyl sums
-
TED University Affiliated:
No
Abstract
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.