Abstract
Let D>0 be the fundamental discriminant of a real quadratic field, and h(D) its class number. In this paper, by refining Ono's idea, we show that for any prime p>3, ♯{0<D<X|h(D)≢0(mod p)}>> p √(X)/logX.
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Byeon, D. Indivisibility of Class Numbers and Iwasawa λ-Invariants of Real Quadratic Fields. Compositio Mathematica 126, 249–256 (2001). https://doi.org/10.1023/A:1017561005538
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DOI: https://doi.org/10.1023/A:1017561005538