On Waring-Goldbach problem with Piatetski-Shapiro primes
Date
2018
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Source Title
Journal of Number Theory
Print ISSN
0022-314X
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Academic Press
Volume
185
Issue
Pages
80 - 92
Language
English
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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.