Geodesic
Class Number Two for Real Quadratic Fields of Richaud-Degert Type
Serdica Mathematical Journal, Tome 35 (2009) no. 3, pp. 287-300.

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This paper contains proofs of conjectures made in [16] on class number 2 and what this author has dubbed the Euler-Rabinowitsch polynomial for real quadratic fields. As well, we complete the list of Richaud-Degert types given in [16] and show how the behaviour of the Euler-Rabinowitsch polynomials and certain continued fraction expansions come into play in the complete determination of the class number 2 problem for such types. For some values the determination is unconditional, and for others, the wide Richaud-Degert types, the determination is conditional on the generalized Riemann hypothesis (GRH).
Keywords: Quadratic Fields, Prime-Producing Polynomials, Class Numbers, Continued Fractions, Cycles of Ideals, Richaud-Degert Types 
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Mollin, R. A. Class Number Two for Real Quadratic Fields of Richaud-Degert Type. Serdica Mathematical Journal, Tome 35 (2009) no. 3, pp. 287-300. http://geodesic.mathdoc.fr/item/SMJ2_2009_35_3_a3/