On the Divisibility of the Class Numbers of Q(√−p) and Q(√−2p) by 16.
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 200-206
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Let h(m) denote the class number of the quadratic field Q(√m). In this paper necessary and sufficient conditions for h (m) to be divisible by 16 are determined when m = −p, where p is a prime congruent to 1 modulo 8, and when m = −2p, where p is a prime congruent to ±1 modulo 8.
Mots-clés :
12A25, 12A50, Key words, and phrases, class number, imaginary quadratic field, binary quadratic forms
Leonard, Philip A.; Williams, Kenneth S. On the Divisibility of the Class Numbers of Q(√−p) and Q(√−2p) by 16.. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 200-206. doi: 10.4153/CMB-1982-027-0
@article{10_4153_CMB_1982_027_0,
author = {Leonard, Philip A. and Williams, Kenneth S.},
title = {On the {Divisibility} of the {Class} {Numbers} of {Q(\ensuremath{\sqrt{}}\ensuremath{-}p)} and {Q(\ensuremath{\sqrt{}}\ensuremath{-}2p)} by 16.},
journal = {Canadian mathematical bulletin},
pages = {200--206},
year = {1982},
volume = {25},
number = {2},
doi = {10.4153/CMB-1982-027-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-027-0/}
}
TY - JOUR AU - Leonard, Philip A. AU - Williams, Kenneth S. TI - On the Divisibility of the Class Numbers of Q(√−p) and Q(√−2p) by 16. JO - Canadian mathematical bulletin PY - 1982 SP - 200 EP - 206 VL - 25 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-027-0/ DO - 10.4153/CMB-1982-027-0 ID - 10_4153_CMB_1982_027_0 ER -
%0 Journal Article %A Leonard, Philip A. %A Williams, Kenneth S. %T On the Divisibility of the Class Numbers of Q(√−p) and Q(√−2p) by 16. %J Canadian mathematical bulletin %D 1982 %P 200-206 %V 25 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-027-0/ %R 10.4153/CMB-1982-027-0 %F 10_4153_CMB_1982_027_0
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