Class numbers and quadratic residues
Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 47-52
Voir la notice de l'article provenant de la source Cambridge University Press
It has long been known that there is a strong connection between the class numbers of quadratic fields and the distribution of quadratic residues. This connection is exemplified, for instance, by the class number formulae of Dirichlet, which have formed the basis of much of the work on the subject of class numbers.
Chowla, S.; Friedlander, J. Class numbers and quadratic residues. Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 47-52. doi: 10.1017/S0017089500002718
@article{10_1017_S0017089500002718,
author = {Chowla, S. and Friedlander, J.},
title = {Class numbers and quadratic residues},
journal = {Glasgow mathematical journal},
pages = {47--52},
year = {1976},
volume = {17},
number = {1},
doi = {10.1017/S0017089500002718},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500002718/}
}
[1] 1.Cohn, H., A Second Course in Number Theory (Wiley, 1962). Google Scholar
[2] 2.Hendy, M. D., Prime quadratics associated with complex quadratic fields of class number two, Proc. American Math. Soc. 43 (1974), 253–260. Google Scholar | DOI
[3] 3.Vinogradov, A. I. and Linnik, Y. V., Hyperelliptic curves and the least prime quadratic residue, Doklady (1966) Tom 168, No. 2, 612–614. Google Scholar
Cité par Sources :