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 ≤ x which representate as a sum of two non-negative k-th powers in an arithmetic progression.

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Bibliographic Details
Date:2003
Main Author: Prosyanyuk, N.S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2003
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/155714
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the representation of a number as a sum of the k-th powers in an arithmetic progression / N.S. Prosyanyuk // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 2. — С. 87–92. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine