A Note on Integer Solutions of the Diophantine Equation x2-dy2=1
Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 55-56
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In the equationdis any positive integer which is not a perfect square. For convenience we shall consider only those solutions of (1) for which x and yare both positive. All the others can be obtained from these. In fact, it is well known that if (x0, y0) is the minimum positive integer solution of (1), then all integer solutions (x, y) are given byand, in particular, all positive integer solutions are given by
Hunter, John. A Note on Integer Solutions of the Diophantine Equation x2-dy2=1. Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 55-56. doi: 10.1017/S2040618500033438
@article{10_1017_S2040618500033438,
author = {Hunter, John},
title = {A {Note} on {Integer} {Solutions} of the {Diophantine} {Equation} x2-dy2=1},
journal = {Glasgow mathematical journal},
pages = {55--56},
year = {1956},
volume = {2},
number = {1},
doi = {10.1017/S2040618500033438},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033438/}
}
TY - JOUR AU - Hunter, John TI - A Note on Integer Solutions of the Diophantine Equation x2-dy2=1 JO - Glasgow mathematical journal PY - 1956 SP - 55 EP - 56 VL - 2 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033438/ DO - 10.1017/S2040618500033438 ID - 10_1017_S2040618500033438 ER -
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