Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 Formula
We employ Ramanujan's 1ψ1 formula to prove three conjectures of R. S. Melham on representation of an integer n as sums of polygonal numbers.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/738948 |
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| _version_ | 1832562810717995008 |
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| author | Bipul Kumar Sarmah |
| author_facet | Bipul Kumar Sarmah |
| author_sort | Bipul Kumar Sarmah |
| collection | DOAJ |
| description | We employ Ramanujan's 1ψ1 formula to prove three conjectures of R. S. Melham on representation of an integer n as sums of polygonal numbers. |
| format | Article |
| id | doaj-art-5e45ecc848284df6b46d398d1eee0b86 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5e45ecc848284df6b46d398d1eee0b862025-02-03T01:21:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/738948738948Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 FormulaBipul Kumar Sarmah0Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam 784028, IndiaWe employ Ramanujan's 1ψ1 formula to prove three conjectures of R. S. Melham on representation of an integer n as sums of polygonal numbers.http://dx.doi.org/10.1155/2014/738948 |
| spellingShingle | Bipul Kumar Sarmah Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 Formula International Journal of Mathematics and Mathematical Sciences |
| title | Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 Formula |
| title_full | Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 Formula |
| title_fullStr | Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 Formula |
| title_full_unstemmed | Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 Formula |
| title_short | Proof of Some Conjectures of Melham Using Ramanujan’s 1ψ1 Formula |
| title_sort | proof of some conjectures of melham using ramanujan s 1ψ1 formula |
| url | http://dx.doi.org/10.1155/2014/738948 |
| work_keys_str_mv | AT bipulkumarsarmah proofofsomeconjecturesofmelhamusingramanujans1ps1formula |