On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression

On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression

In this paper we obtain the asymptotic formula for a natural \(n\leqslant x\) which representate as a sum of two non-negative \(k\)-th powers in an arithmetic progression. 

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Bibliographic Details
Date:2018
Main Author: Prosyanyuk, N. S.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
asymptotic formula
exponential sum
number of representation
11P55
11H37
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/959
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

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