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

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DOI

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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     title = {THE {DIVISIBILITY} {OF} {THE} {CLASS} {NUMBER} {OF} {THE} {IMAGINARY} {QUADRATIC} {FIELD}},
     journal = {Glasgow mathematical journal},
     pages = {149--154},
     year = {2012},
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     doi = {10.1017/S0017089511000486},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000486/}
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