Waring-Goldbach problem with Piatetski-Shapiro primes

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
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Publisher
Institut de Mathematique de Bordeaux
Volume
30
Issue
2
Pages
449 - 467
Language
English
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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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