A Lower Bound for the Class Number of a Real Quadratic Field of ERD-Type
Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 90-96
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In this paper, we use the Lagrange neighbour and our equivalence theorem for primitive ideals to obtain lower bounds which are sharper than those given in the literature for class numbers of real quadratic fields in general, but applied to greatest advantage when d is of ERD type.
Mots-clés :
11R11, 11R09, 11R29, class number, primitive ideal, divisor function, Lagrange neighbour, ERD-type, quadratic fields
Mollin, R. A.; Zhang, L.-C. A Lower Bound for the Class Number of a Real Quadratic Field of ERD-Type. Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 90-96. doi: 10.4153/CMB-1994-014-8
@article{10_4153_CMB_1994_014_8,
author = {Mollin, R. A. and Zhang, L.-C.},
title = {A {Lower} {Bound} for the {Class} {Number} of a {Real} {Quadratic} {Field} of {ERD-Type}},
journal = {Canadian mathematical bulletin},
pages = {90--96},
year = {1994},
volume = {37},
number = {1},
doi = {10.4153/CMB-1994-014-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-014-8/}
}
TY - JOUR AU - Mollin, R. A. AU - Zhang, L.-C. TI - A Lower Bound for the Class Number of a Real Quadratic Field of ERD-Type JO - Canadian mathematical bulletin PY - 1994 SP - 90 EP - 96 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-014-8/ DO - 10.4153/CMB-1994-014-8 ID - 10_4153_CMB_1994_014_8 ER -
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