Cyclotomy of order 15 over GF(p2), p=4, 11(mod15)
For primes p≡4, 11(mod15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p2).
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000832 |
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| _version_ | 1832564138301194240 |
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| author | Christian Friesen Joseph B. Muskat Blair K. Spearman Kenneth S. Williams |
| author_facet | Christian Friesen Joseph B. Muskat Blair K. Spearman Kenneth S. Williams |
| author_sort | Christian Friesen |
| collection | DOAJ |
| description | For primes p≡4, 11(mod15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p2). |
| format | Article |
| id | doaj-art-aa9cfd6b2fa144509b79f67e41b24f33 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-aa9cfd6b2fa144509b79f67e41b24f332025-02-03T01:11:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019466570410.1155/S0161171286000832Cyclotomy of order 15 over GF(p2), p=4, 11(mod15)Christian Friesen0Joseph B. Muskat1Blair K. Spearman2Kenneth S. Williams3Departmert of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, CanadaDepartment of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan, IsraelDepartment of Mathematics, College of New Caledonia, Prince George, British Columbia V2N 1P8, CanadaDepartment of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6, CanadaFor primes p≡4, 11(mod15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p2).http://dx.doi.org/10.1155/S0161171286000832cyclotomic numbersGauss sumsJacobi sumsEisenstein sums. |
| spellingShingle | Christian Friesen Joseph B. Muskat Blair K. Spearman Kenneth S. Williams Cyclotomy of order 15 over GF(p2), p=4, 11(mod15) International Journal of Mathematics and Mathematical Sciences cyclotomic numbers Gauss sums Jacobi sums Eisenstein sums. |
| title | Cyclotomy of order 15 over GF(p2), p=4, 11(mod15) |
| title_full | Cyclotomy of order 15 over GF(p2), p=4, 11(mod15) |
| title_fullStr | Cyclotomy of order 15 over GF(p2), p=4, 11(mod15) |
| title_full_unstemmed | Cyclotomy of order 15 over GF(p2), p=4, 11(mod15) |
| title_short | Cyclotomy of order 15 over GF(p2), p=4, 11(mod15) |
| title_sort | cyclotomy of order 15 over gf p2 p 4 11 mod15 |
| topic | cyclotomic numbers Gauss sums Jacobi sums Eisenstein sums. |
| url | http://dx.doi.org/10.1155/S0161171286000832 |
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