Voir la notice de l'article provenant de la source Cambridge University Press
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
@article{10_1017_S0017089511000486,
author = {MINHUI, ZHU and TINGTING, WANG},
title = {THE {DIVISIBILITY} {OF} {THE} {CLASS} {NUMBER} {OF} {THE} {IMAGINARY} {QUADRATIC} {FIELD}},
journal = {Glasgow mathematical journal},
pages = {149--154},
year = {2012},
volume = {54},
number = {1},
doi = {10.1017/S0017089511000486},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000486/}
}
TY - JOUR AU - MINHUI, ZHU AU - TINGTING, WANG TI - THE DIVISIBILITY OF THE CLASS NUMBER OF THE IMAGINARY QUADRATIC FIELD JO - Glasgow mathematical journal PY - 2012 SP - 149 EP - 154 VL - 54 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000486/ DO - 10.1017/S0017089511000486 ID - 10_1017_S0017089511000486 ER -
%0 Journal Article %A MINHUI, ZHU %A TINGTING, WANG %T THE DIVISIBILITY OF THE CLASS NUMBER OF THE IMAGINARY QUADRATIC FIELD %J Glasgow mathematical journal %D 2012 %P 149-154 %V 54 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000486/ %R 10.1017/S0017089511000486 %F 10_1017_S0017089511000486
[1] 1.Ankeny, N. C. and Chowla, S., On the divisibility of the class number of quadratic fields, Pacific J. Math. 5 (4) (1955), 321–324. Google Scholar | DOI
[2] 2.Bilu, Y., Hanrot, G. and Voutier, P. M. (with an appendix by M. Mignotte), Existence of primitive divisors of Lucas and Lehmer numbers, J. Reine Angew. Math. 539 (2001), 75–122. Google Scholar
[3] 3.Cowles, M. J., On the divisibility of the class number of imaginary quadratic fields, J. Number Theory 12 (2) (1980), 113–115. Google Scholar | DOI
[4] 4.Gross, B. H. and Rohrlich, D. E., Some results on the Mordell–Weil group of the Jacobian of the Fermat curve, Invent. Math. 44 (2) (1978), 201–224. Google Scholar | DOI
[5] 5.Heuberger, C. and Le, M. H., On the generalized Ramanujan–Nagell equation x 2 + D = pZ, J. Number Theory 78 (4) (1999), 312–331. Google Scholar | DOI
[6] 6.Hua, L. K., Introduction to number theory (Springer-Verlag, Berlin, 1982). Google Scholar
[7] 7.Kishi, Y., Note on the divisibility of the class number of certain imaginary quadratic fields, Glasgow Math. J. 51 (1) (2009), 187–191 (Corrigendum: Glasgow Math. J. (2) (2010), 207–208). Google Scholar | DOI
[8] 8.Mollin, R. A., Diophantine equations and class numbers, J. Number Theory 24 (1) (1986), 7–19. Google Scholar | DOI
[9] 9.Mollin, R. A., Solutions, of diophantine equations and divisibility of class numbers of complex quadratic fields, Glasgow Math. J. 38 (2) (1996), 195–197. Google Scholar | DOI
[10] 10.Voutier, P. M., Primitive divisors of Lucas and Lehmer sequences, Math. Comp. 64 (5) (1995), 869–888. Google Scholar | DOI
Cité par Sources :