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Lower bound for class number of certain real quadratic fields

math.NT · 2019-06-24 · unverdicted · novelty 5.0

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.

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  • Lower bound for class number of certain real quadratic fields math.NT · 2019-06-24 · unverdicted · none · ref 13

    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.