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Class number one problem for real quadratic fields of a certain type

Kostadinka Lapkova — 2012

Acta Arithmetica

The class number one problem for the real quadratic fields ℚ(√((an)²+4a))

András Biró; Kostadinka Lapkova — 2016

Acta Arithmetica

We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√d) with square-free discriminant d = (an)²+4a for positive odd integers a and n.

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