On the representation of m as ∑k=−nnϵkk
Let A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200001885 |
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| _version_ | 1832548306777014272 |
|---|---|
| author | Lane Clark |
| author_facet | Lane Clark |
| author_sort | Lane Clark |
| collection | DOAJ |
| description | Let A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer. |
| format | Article |
| id | doaj-art-fd3e0989f7374966b0642e9094358415 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fd3e0989f7374966b0642e90943584152025-02-03T06:15:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231778010.1155/S0161171200001885On the representation of m as ∑k=−nnϵkkLane Clark0Department of Mathematics, Southern Illinois University at Carbondale, Carbondale 62901-4408, IL, USALet A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer.http://dx.doi.org/10.1155/S0161171200001885Representationasymptotic behavior. |
| spellingShingle | Lane Clark On the representation of m as ∑k=−nnϵkk International Journal of Mathematics and Mathematical Sciences Representation asymptotic behavior. |
| title | On the representation of m as ∑k=−nnϵkk |
| title_full | On the representation of m as ∑k=−nnϵkk |
| title_fullStr | On the representation of m as ∑k=−nnϵkk |
| title_full_unstemmed | On the representation of m as ∑k=−nnϵkk |
| title_short | On the representation of m as ∑k=−nnϵkk |
| title_sort | on the representation of m as ∑k nnϵkk |
| topic | Representation asymptotic behavior. |
| url | http://dx.doi.org/10.1155/S0161171200001885 |
| work_keys_str_mv | AT laneclark ontherepresentationofmasknnekk |