Waring-Goldbach problem with Piatetski-Shapiro primes

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Waring-Goldbach_problem_with_Piatetski-Shapiro_primes.pdf (742.03 KB)

Date

2018

Authors

Akbal, Y.
Güloğlu, A. M.

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Source Title

Journal de Theorie des Nombres de Bordeaux

Print ISSN

1246-7405

Electronic ISSN

Publisher

Institut de Mathematique de Bordeaux

Volume

30

Issue

2

Pages

449 - 467

Language

English

Type

Article

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Abstract

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.

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Keywords

Circle method , Exponential sums , Piatetski-Shapiro primes , Van der Corput’s method , Vinogradov’s mean value theorem , Waring-Goldbach problem , Weyl sums

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http://hdl.handle.net/11693/50493

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Scholarly Publications - Mathematics