Applications of the Quaternions to the Study of Imaginary Quadratic Ring Class Groups
<p>Let m = m<sub>1</sub>f<sup>2</sup> where m<sub>1</sub> is a square-free positive integer and m is congruent to 1 or 2 mod 4. A theorem of Gauss (see [5]) states that the number of ways to write m as a sum of 3 squares is 12 times the size of the ring clas...