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Divisibility of Class Numbers of Real Quadratic Fields (解析的整数論とその周辺 研究集会報告集)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chakraborty, Kalyan Kumar |
| Copyright Year | 2006 |
| Abstract | For any integer l ≥ 1, let p1, p2, . . . , pl+2 be distinct prime numbers ≥ 5. For all real numbers X > 1, we let N3,l(X) denote the number of real quadratic fields K whose absolute discriminant dK ≤ X and dK is divisible by (p1 . . . pl+2) together with the class number hK of K divisible by 2 l · 3. Then, in this short note, by following the method in [3], we prove that N3,l(X) ≫ X 7 8 for all large enough X ’s. |
| Starting Page | 188 |
| Ending Page | 196 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| Volume Number | 1511 |
| Alternate Webpage(s) | http://export.arxiv.org/pdf/1804.08235 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
