Waring-Goldbach problem with Piatetski-Shapiro primes

Files

Waring-Goldbach_problem_with_Piatetski-Shapiro_primes.pdf (742.03 KB)

Date

2018

Authors

Akbal, Y.
Güloğlu, A. M.

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
2
views
5
downloads

  • Share

Series

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.

Source Title

Journal de Theorie des Nombres de Bordeaux

Publisher

Institut de Mathematique de Bordeaux

Course

Other identifiers

Book Title

Keywords

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

Degree Discipline

Degree Level

Degree Name

Citation

Permalink

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

Published Version (Please cite this version)

Collections

Scholarly Publications - Mathematics

Language

English

Type

Article