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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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/959 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-959 |
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admjournalluguniveduua-article-9592018-05-13T07:14:40Z On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression Prosyanyuk, N. S. asymptotic formula, exponential sum, number of representation 11P55, 11H37 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. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/959 Algebra and Discrete Mathematics; Vol 2, No 2 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/959/488 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-05-13T07:14:40Z |
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OJS |
| language |
English |
| topic |
asymptotic formula exponential sum number of representation 11P55 11H37 |
| spellingShingle |
asymptotic formula exponential sum number of representation 11P55 11H37 Prosyanyuk, N. S. On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression |
| topic_facet |
asymptotic formula exponential sum number of representation 11P55 11H37 |
| format |
Article |
| author |
Prosyanyuk, N. S. |
| author_facet |
Prosyanyuk, N. S. |
| author_sort |
Prosyanyuk, N. S. |
| title |
On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression |
| title_short |
On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression |
| title_full |
On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression |
| title_fullStr |
On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression |
| title_full_unstemmed |
On the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression |
| title_sort |
on the representation of a number as a sum of the \(k\)-th powers in an arithmetic progression |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/959 |
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AT prosyanyukns ontherepresentationofanumberasasumofthekthpowersinanarithmeticprogression |
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2025-12-02T15:37:51Z |
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2025-12-02T15:37:51Z |
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1850411446717906944 |