Simultaneous indivisibility of class numbers of pairs of real quadratic fields
Abstract
For a square-free integer t, Byeon (Proc. Am. Math. Soc. 132:3137–3140, 2004) proved the existence of infinitely many pairs of quadratic fields $\mathbb {Q}(\sqrt{D}) and \mathbb {Q}(\sqrt{tD}) with D > 0 such that the class numbers of all of them are indivisible by 3. In the same spirit, we prove that for a given integer t \ge 1 with t \equiv 0 \pmod {4} , a positive proportion of fundamental discriminants D > 0 exist for...
Paper Details
Title
Simultaneous indivisibility of class numbers of pairs of real quadratic fields
Published Date
Jul 6, 2021
Journal
Volume
58
Issue
3
Pages
905 - 911
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