On the Distribution of Integer Solutions of f(x, y) = z2 for a Definite Binary Quadratic Form f
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 755-756
Voir la notice de l'article provenant de la source Cambridge University Press
Let f be a positive definite binary quadratic form with rational coefficients. We shall call a point (x, y) in E2 with integers x and y a Pythagorean point of f when f(x, y) = z2 is satisfied with some integer z, and shall prove the following theorem.
Nobusawa, Nobuo. On the Distribution of Integer Solutions of f(x, y) = z2 for a Definite Binary Quadratic Form f. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 755-756. doi: 10.4153/CMB-1967-082-0
@article{10_4153_CMB_1967_082_0,
author = {Nobusawa, Nobuo},
title = {On the {Distribution} of {Integer} {Solutions} of f(x, y) = z2 for a {Definite} {Binary} {Quadratic} {Form} f},
journal = {Canadian mathematical bulletin},
pages = {755--756},
year = {1967},
volume = {10},
number = {5},
doi = {10.4153/CMB-1967-082-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-082-0/}
}
TY - JOUR AU - Nobusawa, Nobuo TI - On the Distribution of Integer Solutions of f(x, y) = z2 for a Definite Binary Quadratic Form f JO - Canadian mathematical bulletin PY - 1967 SP - 755 EP - 756 VL - 10 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-082-0/ DO - 10.4153/CMB-1967-082-0 ID - 10_4153_CMB_1967_082_0 ER -
%0 Journal Article %A Nobusawa, Nobuo %T On the Distribution of Integer Solutions of f(x, y) = z2 for a Definite Binary Quadratic Form f %J Canadian mathematical bulletin %D 1967 %P 755-756 %V 10 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-082-0/ %R 10.4153/CMB-1967-082-0 %F 10_4153_CMB_1967_082_0
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