Lower Bound for the Class Number of ℚn2+4
In this paper, we give an explicit lower bound for the class number of real quadratic field ℚd, where d=n2+4 is a square-free integer, using ωn which is the number of odd prime divisors of n.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/9519613 |
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| _version_ | 1832566011765719040 |
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| author | Hasan Sankari Ahmad Issa |
| author_facet | Hasan Sankari Ahmad Issa |
| author_sort | Hasan Sankari |
| collection | DOAJ |
| description | In this paper, we give an explicit lower bound for the class number of real quadratic field ℚd, where d=n2+4 is a square-free integer, using ωn which is the number of odd prime divisors of n. |
| format | Article |
| id | doaj-art-9becd794176f45959d3f9ae0f67eb981 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9becd794176f45959d3f9ae0f67eb9812025-02-03T01:05:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/95196139519613Lower Bound for the Class Number of ℚn2+4Hasan Sankari0Ahmad Issa1Department of Mathematics, Faculty of Science, Tishreen University, Lattakia, SyriaDepartment of Mathematics, Faculty of Science, Tishreen University, Lattakia, SyriaIn this paper, we give an explicit lower bound for the class number of real quadratic field ℚd, where d=n2+4 is a square-free integer, using ωn which is the number of odd prime divisors of n.http://dx.doi.org/10.1155/2020/9519613 |
| spellingShingle | Hasan Sankari Ahmad Issa Lower Bound for the Class Number of ℚn2+4 International Journal of Mathematics and Mathematical Sciences |
| title | Lower Bound for the Class Number of ℚn2+4 |
| title_full | Lower Bound for the Class Number of ℚn2+4 |
| title_fullStr | Lower Bound for the Class Number of ℚn2+4 |
| title_full_unstemmed | Lower Bound for the Class Number of ℚn2+4 |
| title_short | Lower Bound for the Class Number of ℚn2+4 |
| title_sort | lower bound for the class number of qn2 4 |
| url | http://dx.doi.org/10.1155/2020/9519613 |
| work_keys_str_mv | AT hasansankari lowerboundfortheclassnumberofqn24 AT ahmadissa lowerboundfortheclassnumberofqn24 |