Class Numbers of Real Quadratic Function
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Humio Ichimura
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Article
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1997
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Elsevier Science
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English
β 160 KB
For a prime number p, let β«ήβ¬ p be the finite field of cardinality p and X Ο X p a fixed indeterminate. We prove that for any natural number N, there exist infinitely many pairs ( p, K/β«ήβ¬ p (X )) of a prime number p and a ''real'' quadratic extension K/β«ήβ¬ p (X ) for which the genus of K is one and