On the 3-rank of the class group of quadratic fields

Shi-Chao Chen, Chuan-Chuan Wu

Let $n\ge 1$, $r\ge 0$ and $s\ge 0$ be integers satisfying $4+r+3s\le 3^{n+1}$. Given linear polynomials $f_i(x)=m_{i}x+n_i$ for $1\le i\le r+s$, where the coefficients $m_{i}…