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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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relations between class numbers of quadratic extensions
Let $h_m$ is the class number of $\mathbb{Q}[\sqrt m]$ and let $p>2$ a prime number.
Is there a known connections between $h_p$ and $h_{-p}$? e.g. if $q^i$ divides $h_p$ then it also divides $h_{-p} …