Continued fractions and class number two
We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a canonical norm-induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the w...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010900 |
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| _version_ | 1849304425435234304 |
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| author | Richard A. Mollin |
| author_facet | Richard A. Mollin |
| author_sort | Richard A. Mollin |
| collection | DOAJ |
| description | We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a
canonical norm-induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the well-known result by Hendy (1974) for complex quadratic fields. We illustrate with
several examples. |
| format | Article |
| id | doaj-art-133ddb1da6664ef09e5478492fc47b26 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-133ddb1da6664ef09e5478492fc47b262025-08-20T03:55:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127956557110.1155/S0161171201010900Continued fractions and class number twoRichard A. Mollin0Mathematics Department, University of Calgary, Calgary, AB T2N 1N4, CanadaWe use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a canonical norm-induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the well-known result by Hendy (1974) for complex quadratic fields. We illustrate with several examples.http://dx.doi.org/10.1155/S0161171201010900 |
| spellingShingle | Richard A. Mollin Continued fractions and class number two International Journal of Mathematics and Mathematical Sciences |
| title | Continued fractions and class number two |
| title_full | Continued fractions and class number two |
| title_fullStr | Continued fractions and class number two |
| title_full_unstemmed | Continued fractions and class number two |
| title_short | Continued fractions and class number two |
| title_sort | continued fractions and class number two |
| url | http://dx.doi.org/10.1155/S0161171201010900 |
| work_keys_str_mv | AT richardamollin continuedfractionsandclassnumbertwo |