On Waring-Goldbach problem with Piatetski-Shapiro primes

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Date

2018

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Source Title

Journal of Number Theory

Print ISSN

0022-314X

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Publisher

Academic Press

Volume

185

Issue

Pages

80 - 92

Language

English

Type

Article

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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.

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Keywords

Circle method , Exponential sums , Piatetski-Shapiro , Van der Corput , Waring-Goldbach , Weyl sums

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http://hdl.handle.net/11693/49913

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https://doi.org/10.1016/j.jnt.2017.09.018

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Scholarly Publications - Mathematics