Proof of a conjecture of Guy on class numbers
Proof of a conjecture of Guy on class numbers
It is well known that for any prime p ≡ 3 (mod 4), the class numbers of the quadratic fields [Formula: see text] and [Formula: see text] and h(-p), respectively, are odd. It is natural to ask whether there is a formula for h(p)/h(-p) modulo powers of 2. We show …