Geodesic
The class number one problem for the real quadratic fields $\mathbb {Q}(\sqrt {(an)^2+4a})$
András Biró1 ; Kostadinka Lapkova1
1 A. Rényi Institute of Mathematics Hungarian Academy of Sciences Reáltanoda u. 13-15 1053 Budapest, Hungary
Acta Arithmetica, Tome 172 (2016) no. 2, pp. 117-131.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We solve unconditionally the class number one problem for the $2$-parameter family of real quadratic fields ${\mathbb Q}(\sqrt{d})$ with square-free discriminant $d=(an)^2+4a$ for positive odd integers $a$ and $n$.
DOI : 10.4064/aa7957-12-2015
Keywords: solve unconditionally class number problem parameter family real quadratic fields mathbb sqrt square free discriminant positive odd integers

András Biró 1 ; Kostadinka Lapkova 1

1 A. Rényi Institute of Mathematics Hungarian Academy of Sciences Reáltanoda u. 13-15 1053 Budapest, Hungary 
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András Biró; Kostadinka Lapkova. The class number one problem for the real quadratic fields $\mathbb {Q}(\sqrt {(an)^2+4a})$. Acta Arithmetica, Tome 172 (2016) no. 2, pp. 117-131. doi : 10.4064/aa7957-12-2015. http://geodesic.mathdoc.fr/articles/10.4064/aa7957-12-2015/

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