Divisibility by 2-Powers of Certain Quad
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P. Stevenhagen
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Article
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1993
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Elsevier Science
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English
โ 726 KB
We study the divisibility of the strict class numbers of the quadratic fields of discriminant \(8 p,-8 p\), and \(-4 p\) by powers of 2 for \(p \equiv 1 \bmod 4\) a prime number. Various criteria for divisibility by 8 are discussed, and an analogue of the relation \(8\left|h_{x_{p}} \Leftrightarrow