On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields

نویسندگان

چکیده

Let $k \geq 1$ be a cube-free integer with \equiv 1 \pmod {9}$ and $\gcd (k, 7\cdot 571)= 1$. We prove the existence of infinitely many triples imaginary quadratic fields $\mathbb {Q}(\sqrt {d})$, {d+1})$ {d

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ژورنال

عنوان ژورنال: Acta Arithmetica

سال: 2021

ISSN: ['0065-1036', '1730-6264']

DOI: https://doi.org/10.4064/aa200221-16-6