On certain infinite families of imaginary quadratic fields whose Iwasawa $\lambda $-invariant is equal to 1
Volume 168 / 2015
Acta Arithmetica 168 (2015), 301-339
MSC: Primary 11R11; Secondary 11R23.
DOI: 10.4064/aa168-4-1
Abstract
Let $p$ be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which $p$ splits and for which the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_p$-extension is equal to $1$.
