THE DIVISIBILITY OF THE CLASS NUMBER OF THE IMAGINARY QUADRATIC FIELD
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 149-154

Voir la notice de l'article provenant de la source Cambridge University Press

Let hK denote the class number of the imaginary quadratic field , where m and n are positive integers, k is an odd integer with k > 1 and 22m < kn. In this paper we prove that if either 3 ∣ n and 22m − kn ≡ 5(mod 8) or n = 3 and k = (22m+2 −1)/3, then ∣ hK. Otherwise, we have n ∣ hK.
DOI : 10.1017/S0017089511000486
Mots-clés : 11R11, 11R29
MINHUI, ZHU; TINGTING, WANG. THE DIVISIBILITY OF THE CLASS NUMBER OF THE IMAGINARY QUADRATIC FIELD. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 149-154. doi: 10.1017/S0017089511000486
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