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2-adic and 3-adic part of class numbers and properties of central values of L-functions
KazalickiTheorem 1.1.Suppose that p is prime.(1) If p ≡ 1 (mod 16), then(2) If p ≡ 9 (mod 16), thenRemark.Since h(-p) is odd for p ≡ 3, 7 (mod 8) and h(-p) ≡ 2 (mod 4) for p ≡ 5 (mod 8), the only interesting case is p ≡ 1 …