On a theorem of Scholz on the class number of quadratic fields
Let \(K= \mathbb{Q}(\sqrt{pq})\) where \(p\) and \(q\) are distinct primes such that \(p\equiv q\pmod 4\). In the note under review, the author gives another proof of a classical result of A. Scholz, and determines the exact power of 2 dividing the class number of \(K\) using a theorem on the solvability of \(ax^2+ by^2= z^2\).
scientific article; zbMATH DE number 2123822