Explicit lower bounds for h(n²+r) (r=1,4) are derived together with zeta-function criteria that reduce the families in Chowla and Yokoi conjectures and give cyclicity conditions for prime-power class groups.
Yokoi, On real quadratic fields containing units with norm − 1, Nagoya Math
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Lower bound for class number of certain real quadratic fields
Explicit lower bounds for h(n²+r) (r=1,4) are derived together with zeta-function criteria that reduce the families in Chowla and Yokoi conjectures and give cyclicity conditions for prime-power class groups.