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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.