A note on the diophantine equation x ² + b y = c z

Maohua Le

Acta Arithmetica (1995)

  • Volume: 71, Issue: 3, page 253-257
  • ISSN: 0065-1036

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Maohua Le. "A note on the diophantine equation $x² + b^y = c^z$." Acta Arithmetica 71.3 (1995): 253-257. <http://eudml.org/doc/206772>.

@article{MaohuaLe1995,
author = {Maohua Le},
journal = {Acta Arithmetica},
keywords = {exponential diophantine equation; Baker's method; primitive pythagorean triple; lower bound for a linear form in two logarithms},
language = {eng},
number = {3},
pages = {253-257},
title = {A note on the diophantine equation $x² + b^y = c^z$},
url = {http://eudml.org/doc/206772},
volume = {71},
year = {1995},
}

TY - JOUR
AU - Maohua Le
TI - A note on the diophantine equation $x² + b^y = c^z$
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 3
SP - 253
EP - 257
LA - eng
KW - exponential diophantine equation; Baker's method; primitive pythagorean triple; lower bound for a linear form in two logarithms
UR - http://eudml.org/doc/206772
ER -

References

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  1. [1] L.-K. Hua, Introduction to Number Theory, Springer, Berlin, 1982. 
  2. [2] M.-H. Le, The diophantine equation x ² + D m = p n , Acta Arith. 52 (1989), 255-265. 
  3. [3] M. Mignotte and M. Waldschmidt, Linear forms in two logarithms and Schneider's method, III, Ann. Fac. Sci. Toulouse Math. 97 (1989), 43-75. Zbl0702.11044
  4. [4] L. J. Mordell, Diophantine Equations, Academic Press, London, 1969. 
  5. [5] N. Terai, The Diophantine equation x ² + q m = p n , Acta Arith. 63 (1993), 351-358. Zbl0770.11020

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