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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| Дата: | 2003 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155714 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155714 |
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| spelling |
irk-123456789-1557142019-06-18T01:28:38Z On the representation of a number as a sum of the k-th powers in an arithmetic progression Prosyanyuk, N.S. 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. 2003 Article 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. 1726-3255 2001 Mathematics Subject Classification: 11P55, 11H37. http://dspace.nbuv.gov.ua/handle/123456789/155714 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Prosyanyuk, N.S. |
| spellingShingle |
Prosyanyuk, N.S. On the representation of a number as a sum of the k-th powers in an arithmetic progression Algebra and Discrete Mathematics |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155714 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT prosyanyukns ontherepresentationofanumberasasumofthekthpowersinanarithmeticprogression |
| first_indexed |
2023-05-20T17:46:48Z |
| last_indexed |
2023-05-20T17:46:48Z |
| _version_ |
1796154078496030720 |