Imaginary Quadratic Fields with Ono Number 3 |
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| Authors: | Xuejun Guo Hourong Qin |
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| Affiliation: | 1. Department of Mathematics , Nanjing University , China guoxj@nju.edu.cn;3. Department of Mathematics , Nanjing University , China |
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| Abstract: | In this article, we prove that an imaginary quadratic field F has the ideal class group isomorphic to ?/2? ⊕ ?/2? if and only if the Ono number of F is 3 and F has exactly 3 ramified primes under the Extended Riemann Hypothesis (ERH). In addition, we give the list of all imaginary quadratic fields with Ono number 3. |
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| Keywords: | Ideal class group Ono number |
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