Indivisibility of Class Numbers of Real Quadratic Fields |
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Authors: | Ken Ono |
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Institution: | (1) Department of Mathematics, Penn. State University, University, Park, PA 16802, U.S.A.; e-mail |
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Abstract: | Let D denote the fundamental discriminant of a real quadratic field, and let h(D) denote its associated class number. If p is prime, then the Cohen and Lenstra Heuristics give a probability that ph(D). If pgt;3 is prime, then subject to a mild condition, we show that This condition holds for each 3<p<5000. |
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Keywords: | class numbers of real quadratic fields |
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