q-Analogue of a binomial coefficient congruence
We establish a q-analogue of the congruence (papb)≡(ab) (modp2) where p is a prime and a and b are positive integers.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129500024X |
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| _version_ | 1832550212672946176 |
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| author | W. Edwin Clark |
| author_facet | W. Edwin Clark |
| author_sort | W. Edwin Clark |
| collection | DOAJ |
| description | We establish a q-analogue of the congruence
(papb)≡(ab) (modp2)
where p is a prime and a and b are positive integers. |
| format | Article |
| id | doaj-art-54b3500ee4c8427db959b992da95cf08 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-54b3500ee4c8427db959b992da95cf082025-02-03T06:07:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118119720010.1155/S016117129500024Xq-Analogue of a binomial coefficient congruenceW. Edwin Clark0Department of Mathematics, University of South Florida, Tampa 33620-5700, FL, USAWe establish a q-analogue of the congruence (papb)≡(ab) (modp2) where p is a prime and a and b are positive integers.http://dx.doi.org/10.1155/S016117129500024Xbinomial coefficientpartitioncongruencecyclotomic polynomialq-analogue. |
| spellingShingle | W. Edwin Clark q-Analogue of a binomial coefficient congruence International Journal of Mathematics and Mathematical Sciences binomial coefficient partition congruence cyclotomic polynomial q-analogue. |
| title | q-Analogue of a binomial coefficient congruence |
| title_full | q-Analogue of a binomial coefficient congruence |
| title_fullStr | q-Analogue of a binomial coefficient congruence |
| title_full_unstemmed | q-Analogue of a binomial coefficient congruence |
| title_short | q-Analogue of a binomial coefficient congruence |
| title_sort | q analogue of a binomial coefficient congruence |
| topic | binomial coefficient partition congruence cyclotomic polynomial q-analogue. |
| url | http://dx.doi.org/10.1155/S016117129500024X |
| work_keys_str_mv | AT wedwinclark qanalogueofabinomialcoefficientcongruence |