Vol. 26, No. 2, 1968

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Some quartic Diophantine equations

John H. E. Cohn

Vol. 26 (1968), No. 2, 233–243
Abstract

Elementary methods are used to solve some quartic Diophantine equations, of which x2 = dy4 + m is typical, where m is an integer, positive or negative and d is a positive integer with the property that the equation xz dy2 = 4 has at least one solution x, y where both x and y are odd.

Mathematical Subject Classification
Primary: 10.12
Milestones
Received: 17 May 1967
Published: 1 August 1968
Authors
John H. E. Cohn