Solutions of the diophantine equation $x^{2}-Dy^{4}=k$
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- by Mohan Lal and James Dawe PDF
- Math. Comp. 22 (1968), 679-682 Request permission
References
- Wilhelm Ljunggren, Zur Theorie der Gleichung $x^2+1=Dy^4$, Avh. Norske Vid.-Akad. Oslo I 1942 (1942), no.Β 5, 27 (German). MR 16375 W. Ljunggren, βEinige Eigenschaften der Einheiten reel Quadratischer und rein-biquadratishen Zahlkorper,β Skr. Norske Vid. Akad. Oslo I, v. 1936, no. 12.
- L. J. Mordell, The Diophantine equation $y^{2}=Dx^{4}+1$, J. London Math. Soc. 39 (1964), 161β164. MR 162761, DOI 10.1112/jlms/s1-39.1.161
- W. Ljunggren, Some remarks on the diophantine equations $x^{2}-{\cal D}y^{4}=1$ and $x^{4}-{\cal D}y^{2}=1$, J. London Math. Soc. 41 (1966), 542β544. MR 197390, DOI 10.1112/jlms/s1-41.1.542
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Math. Comp. 22 (1968), 679-682
- MSC: Primary 10.13
- DOI: https://doi.org/10.1090/S0025-5718-1968-0236107-1
- MathSciNet review: 0236107