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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2003 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862631691186601984 |
|---|---|
| author | Prosyanyuk, N.S. |
| author_facet | Prosyanyuk, N.S. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-30T11:41:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155714 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T11:41:19Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Prosyanyuk, N.S. 2019-06-17T11:11:48Z 2019-06-17T11:11:48Z 2003 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. https://nasplib.isofts.kiev.ua/handle/123456789/155714 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the representation of a number as a sum of the k-th powers in an arithmetic progression Article published earlier |
| spellingShingle | On the representation of a number as a sum of the k-th powers in an arithmetic progression Prosyanyuk, N.S. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155714 |
| work_keys_str_mv | AT prosyanyukns ontherepresentationofanumberasasumofthekthpowersinanarithmeticprogression |