The Diophantine equation x⁴ - Dy² = 1, II

J. H. E. Cohn

Acta Arithmetica (1997)

  • Volume: 78, Issue: 4, page 401-403
  • ISSN: 0065-1036

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J. H. E. Cohn. "The Diophantine equation x⁴ - Dy² = 1, II." Acta Arithmetica 78.4 (1997): 401-403. <http://eudml.org/doc/206958>.

@article{J1997,
author = {J. H. E. Cohn},
journal = {Acta Arithmetica},
keywords = {quartic diophantine equations; positive integer solutions},
language = {eng},
number = {4},
pages = {401-403},
title = {The Diophantine equation x⁴ - Dy² = 1, II},
url = {http://eudml.org/doc/206958},
volume = {78},
year = {1997},
}

TY - JOUR
AU - J. H. E. Cohn
TI - The Diophantine equation x⁴ - Dy² = 1, II
JO - Acta Arithmetica
PY - 1997
VL - 78
IS - 4
SP - 401
EP - 403
LA - eng
KW - quartic diophantine equations; positive integer solutions
UR - http://eudml.org/doc/206958
ER -

References

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  1. [1] J. H. E. Cohn, Eight Diophantine equations, Proc. London Math. Soc. (3) 16 (1966), 153-166. Zbl0136.02806
  2. [2] J. H. E. Cohn, Eight Diophantine equations, addendum, Proc. London Math. Soc. 17 (1967), 381. Zbl0148.27206
  3. [3] J. H. E. Cohn, Five Diophantine equations, Math. Scand. 21 (1967), 61-70. Zbl0169.37401
  4. [4] J. H. E. Cohn, The Diophantine equation x⁴ - Dy² = 1, Quart. J. Math. Oxford (2) 26 (1975), 279-281. Zbl0311.10025
  5. [5] M. H. Le, On the diophantine equation D₁x⁴ - D₂ y² = 1, Acta Arith. 76 (1996), 1-9. 
  6. [6] W. Ljunggren, Zur Theorie der Gleichung X² +1 = DY⁴, Avh. Norske Vid. Akad. Oslo I. Mat.-Naturv. 1942 (5), 27 pp. 
  7. [7] W. Ljunggren, Über die Gleichung x⁴ - D y² = 1, Arch. Math. Naturv. 45 (5) (1942), 61-70. Zbl68.0069.01
  8. [8] R. Steiner and N. Tzanakis, Simplifying the solution of Ljunggren's equation X² + 1 = 2Y⁴, J. Number Theory 37 (1991), 123-132. Zbl0716.11016

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