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Mathematische Nachrichten > 290 > 2-3 > 341 - 348

*a*and

*b*be positive integers such that

*ab*+ 1 divides

*a*

^{2}+

*b*

^{2}. Show that (

*a*

^{2}+

*b*

^{2})/(

*ab*+ 1) is the square of an integer.

Acta Mathematica Hungarica > 2016 > 148 > 2 > 312-327

Acta Mathematica Scientia > 2011 > 31 > 3 > 1179-1188

^{8}) for those discriminants of real quadratic fields Q ( d ) with d = N

^{2}− 4 and h(d) = 1.