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On Gauss’s class number problems

On Gauss’s class number problems

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="h"> <mml:semantics> <mml:mi>h</mml:mi> <mml:annotation encoding="application/x-tex">h</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be the class number of binary quadratic forms (in Gauss’s formulation). All negative determinants having some <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="h equals 6 n plus-or-minus 1"> <mml:semantics> <mml:mrow> <mml:mi>h</mml:mi> <mml:mo>=</mml:mo> <mml:mn>6</mml:mn> <mml:mi>n</mml:mi> <mml:mo>±<!-- ± --></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> …