Geodesic
On certain infinite families of imaginary quadratic fields whose Iwasawa $\lambda $-invariant is equal to 1
Akiko Ito 1
1 Kanagawa University 3-27-1, Rokkakubashi, Kanagawa-ku Yokohama-shi, Kanagawa, 221-8686, Japan
Acta Arithmetica, Tome 168 (2015) no. 4, pp. 301-339 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $1$.
DOI : 10.4064/aa168-4-1
Keywords: odd prime number prove existence certain infinite families imaginary quadratic fields which splits which iwasawa lambda invariant cyclotomic mathbb p extension equal

Akiko Ito  1

1 Kanagawa University 3-27-1, Rokkakubashi, Kanagawa-ku Yokohama-shi, Kanagawa, 221-8686, Japan 
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     author = {Akiko Ito},
     title = {On certain infinite families of imaginary quadratic fields whose {Iwasawa} $\lambda $-invariant is equal to 1},
     journal = {Acta Arithmetica},
     pages = {301--339},
     year = {2015},
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     doi = {10.4064/aa168-4-1},
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Akiko Ito. On certain infinite families of imaginary quadratic fields whose Iwasawa $\lambda $-invariant is equal to 1. Acta Arithmetica, Tome 168 (2015) no. 4, pp. 301-339. doi: 10.4064/aa168-4-1

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