Geodesic
REMARKS ON THE DIVISIBILITY OF THE CLASS NUMBERS OF IMAGINARY QUADRATIC FIELDS
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 379-389

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

We consider the divisibility of the class numbers of imaginary quadratic fields , where q is an odd prime number, k and n are positive integers. Suppose that k ≡ 1 mod 2 or n ≢ 3 mod 6. We show that the class numbers of imaginary quadratic fields ≠ are divisible by n for q ≡ 3 mod 8. This is a generalization of the result of Kishi for imaginary quadratic fields when k ≡ 1 mod 2 or n ≢ 3 mod 6. We also show that the class numbers of imaginary quadratic fields ≠ are divisible by n for q ≡ 1 mod 4 and the class numbers of imaginary quadratic fields ≠ are divisible by n for q ≡ 7 mod 8.
DOI : 10.1017/S0017089511000012
Mots-clés : 11R11, 11R29 
ITO, AKIKO. REMARKS ON THE DIVISIBILITY OF THE CLASS NUMBERS OF IMAGINARY QUADRATIC FIELDS. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 379-389. doi: 10.1017/S0017089511000012
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     title = {REMARKS {ON} {THE} {DIVISIBILITY} {OF} {THE} {CLASS} {NUMBERS} {OF} {IMAGINARY} {QUADRATIC} {FIELDS}},
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