A NOTE ON CERTAIN REAL QUADRATIC FIELDS WITH CLASS NUMBER UP TO THREE

A NOTE ON CERTAIN REAL QUADRATIC FIELDS WITH CLASS NUMBER UP TO THREE

We obtain criteria for the class number of certain Richaud-Degert type real quadratic fields to be three. We also treat a couple of families of real quadratic fields of Richaud-Degert type that were not considered earlier, and obtain similar criteria for the class number of such fields to be two and...

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Veröffentlicht in:Kyushu Journal of Mathematics 2020, Vol.74(1), pp.201-210
Hauptverfasser: CHAKRABORTY, Kalyan, HOQUE, Azizul, MISHRA, Mohit
Format: Artikel
Sprache:eng
Schlagworte:
class number
Fields (mathematics)
Number theory
Richaud-Degert type real quadratic field
zeta values
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Zusammenfassung:We obtain criteria for the class number of certain Richaud-Degert type real quadratic fields to be three. We also treat a couple of families of real quadratic fields of Richaud-Degert type that were not considered earlier, and obtain similar criteria for the class number of such fields to be two and three.
ISSN:1340-6116
1883-2032
DOI:10.2206/kyushujm.74.201