On the computation of the class numbers of some cubic fields
Class numbers are calculated for cubic fields of the form x3+12Ax−12=0, A>0, for 1≤a≤17, and for some other values of A. These fields have a known unit, which under certain conditions is the fundamental unit, and are important in studying the Diophantine Equation x3+y3+z3=3.
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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 |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000972 |
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| _version_ | 1832565076778811392 |
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| author | Manny Scarowsky Abraham Boyarsky |
| author_facet | Manny Scarowsky Abraham Boyarsky |
| author_sort | Manny Scarowsky |
| collection | DOAJ |
| description | Class numbers are calculated for cubic fields of the form x3+12Ax−12=0, A>0, for 1≤a≤17, and for some other values of A. These fields have a known unit, which under certain conditions is the fundamental unit, and are important in studying the Diophantine Equation x3+y3+z3=3. |
| format | Article |
| id | doaj-art-18a1778059204aef83eb70ac492d0d3d |
| 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-18a1778059204aef83eb70ac492d0d3d2025-02-03T01:09:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019479780010.1155/S0161171286000972On the computation of the class numbers of some cubic fieldsManny Scarowsky0Abraham Boyarsky1Department of Mathematics, Loyola Campus, Concordia University, Montreal H4B 1R6, CanadaDepartment of Mathematics, Loyola Campus, Concordia University, Montreal H4B 1R6, CanadaClass numbers are calculated for cubic fields of the form x3+12Ax−12=0, A>0, for 1≤a≤17, and for some other values of A. These fields have a known unit, which under certain conditions is the fundamental unit, and are important in studying the Diophantine Equation x3+y3+z3=3.http://dx.doi.org/10.1155/S0161171286000972class numberscubic fieldsDiophantine equation. |
| spellingShingle | Manny Scarowsky Abraham Boyarsky On the computation of the class numbers of some cubic fields International Journal of Mathematics and Mathematical Sciences class numbers cubic fields Diophantine equation. |
| title | On the computation of the class numbers of some cubic fields |
| title_full | On the computation of the class numbers of some cubic fields |
| title_fullStr | On the computation of the class numbers of some cubic fields |
| title_full_unstemmed | On the computation of the class numbers of some cubic fields |
| title_short | On the computation of the class numbers of some cubic fields |
| title_sort | on the computation of the class numbers of some cubic fields |
| topic | class numbers cubic fields Diophantine equation. |
| url | http://dx.doi.org/10.1155/S0161171286000972 |
| work_keys_str_mv | AT mannyscarowsky onthecomputationoftheclassnumbersofsomecubicfields AT abrahamboyarsky onthecomputationoftheclassnumbersofsomecubicfields |