On the set of numbers {14, 22, 30, 42, 90}

Vamsi K. Mootha

Acta Arithmetica (1995)

  • Volume: 71, Issue: 3, page 259-263
  • ISSN: 0065-1036

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Vamsi K. Mootha. "On the set of numbers {14, 22, 30, 42, 90}." Acta Arithmetica 71.3 (1995): 259-263. <http://eudml.org/doc/206773>.

@article{VamsiK1995,
author = {Vamsi K. Mootha},
journal = {Acta Arithmetica},
keywords = {quadratic diophantine equations; linear recurrent sequences; extendible sets; perfect squares},
language = {eng},
number = {3},
pages = {259-263},
title = {On the set of numbers \{14, 22, 30, 42, 90\}},
url = {http://eudml.org/doc/206773},
volume = {71},
year = {1995},
}

TY - JOUR
AU - Vamsi K. Mootha
TI - On the set of numbers {14, 22, 30, 42, 90}
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 3
SP - 259
EP - 263
LA - eng
KW - quadratic diophantine equations; linear recurrent sequences; extendible sets; perfect squares
UR - http://eudml.org/doc/206773
ER -

References

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  1. [1] A. Baker and H. Davenport, The equations 3x²-2=y² and 8x²-7=z², Quart. J. Math. 20 (1969), 129-137. Zbl0177.06802
  2. [2] G. Berzsenyi, Adventures among Pₜ-sets, Quantum 1 (1991), 57. 
  3. [3] E. Brown, Sets in which xy+k is always a square, Math. Comp. 45 (1985), 613-620. Zbl0577.10015
  4. [4] L. E. Dickson, History of the Theory of Numbers, Vol. II, Carnegie Institution, Washington, 1920; reprinted, Chelsea, New York, 1966. Zbl47.0888.08
  5. [5] C. M. Grinstead, On a method of solving a class of diophantine equations, Math. Comp. 32 (1978), 936-940. Zbl0389.10015
  6. [6] P. Kanagasabapathy and T. Ponnudurai, The simultaneous diophantine equations y²-3x²=-2 and z²-8x²=-7, Quart. J. Math. 26 (1975), 275-278. Zbl0309.10008
  7. [7] V. Mootha and G. Berzsenyi, Characterizations and extendibility of Pₜ-sets, Fibonacci Quart. 27 (1989), 287-288. Zbl0674.10010
  8. [8] T. Nagell, Introduction to Number Theory, Wiley, New York, 1951. Zbl0042.26702
  9. [9] G. Sansone, Il sistema diofanteo N+1=x², 3N+1=y², 8N+1=z², Ann. Mat. Pura Appl. 111 (1976), 125-151. Zbl0339.10017

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