Recursive determination of the enumerator for sums of three squares
For each nonnegative integer n, r3(n) denotes the number of representations of n by sums of three squares. Here presented is a two-step recursive scheme for computing r3(n), n≥0.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
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/S0161171200003902 |
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Article |
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doaj-df481f86da554efbb9c6fd0412339c902020-11-24T22:28:46ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124852953210.1155/S0161171200003902Recursive determination of the enumerator for sums of three squaresJohn A. Ewell0Department of Mathematical Sciences, Northern Illinois University, Dekalb 60115, IL, USAFor each nonnegative integer n, r3(n) denotes the number of representations of n by sums of three squares. Here presented is a two-step recursive scheme for computing r3(n), n≥0.http://dx.doi.org/10.1155/S0161171200003902Representations of numbers by sums of three squarescombinatorial identities. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
John A. Ewell |
| spellingShingle |
John A. Ewell Recursive determination of the enumerator for sums of three squares International Journal of Mathematics and Mathematical Sciences Representations of numbers by sums of three squares combinatorial identities. |
| author_facet |
John A. Ewell |
| author_sort |
John A. Ewell |
| title |
Recursive determination of the enumerator for sums of three
squares |
| title_short |
Recursive determination of the enumerator for sums of three
squares |
| title_full |
Recursive determination of the enumerator for sums of three
squares |
| title_fullStr |
Recursive determination of the enumerator for sums of three
squares |
| title_full_unstemmed |
Recursive determination of the enumerator for sums of three
squares |
| title_sort |
recursive determination of the enumerator for sums of three
squares |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2000-01-01 |
| description |
For each nonnegative integer n, r3(n) denotes the number of representations of n by sums of three squares. Here presented is a two-step recursive scheme for computing
r3(n), n≥0. |
| topic |
Representations of numbers by sums of three squares combinatorial identities. |
| url |
http://dx.doi.org/10.1155/S0161171200003902 |
| work_keys_str_mv |
AT johnaewell recursivedeterminationoftheenumeratorforsumsofthreesquares |
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