A Completely General Rabinowi1sch Criterion for Complex Quadratic Fields
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 106-110
Voir la notice de l'article provenant de la source Cambridge
We provide a criterion for the class group of a complex quadratic field to have exponent at most 2. This is given in terms of the factorization of a generalized Euler-Rabinowitsch polynomial and has consequences for consecutive distinct initial prime-producing quadratic polynomials which we cite as applications.
Mots-clés :
11R09, 11R11, 11R29, prime-producing quadratics, class number, exponent, class group
Mollin, R. A. A Completely General Rabinowi1sch Criterion for Complex Quadratic Fields. Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 106-110. doi: 10.4153/CMB-1996-013-1
@article{10_4153_CMB_1996_013_1,
author = {Mollin, R. A.},
title = {A {Completely} {General} {Rabinowi1sch} {Criterion} for {Complex} {Quadratic} {Fields}},
journal = {Canadian mathematical bulletin},
pages = {106--110},
year = {1996},
volume = {39},
number = {1},
doi = {10.4153/CMB-1996-013-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-013-1/}
}
TY - JOUR AU - Mollin, R. A. TI - A Completely General Rabinowi1sch Criterion for Complex Quadratic Fields JO - Canadian mathematical bulletin PY - 1996 SP - 106 EP - 110 VL - 39 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-013-1/ DO - 10.4153/CMB-1996-013-1 ID - 10_4153_CMB_1996_013_1 ER -
Cité par Sources :