Prefer a chat interface with context about you and your work?
A note on the simultaneous 3-divisibility of class numbers of tuples of real quadratic fields.
Abstract Let $r$ be a positive integer, and let $k_1, k_2, \cdots,k_r$ be integers such that $k_i \equiv \pm 1 \pmod 9$ for all $1 \leq i \leq r$. In this article, we prove the existence of infinitely many positive integers $D$ such that the class numbers of the real …