# A note on the diophantine equation $x\xb2+{b}^{y}={c}^{z}$

Acta Arithmetica (1995)

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

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top## How to cite

topMaohua 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] L.-K. Hua, Introduction to Number Theory, Springer, Berlin, 1982.
- [2] M.-H. Le, The diophantine equation $x\xb2+{D}^{m}={p}^{n}$, Acta Arith. 52 (1989), 255-265.
- [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] L. J. Mordell, Diophantine Equations, Academic Press, London, 1969.
- [5] N. Terai, The Diophantine equation $x\xb2+{q}^{m}={p}^{n}$, Acta Arith. 63 (1993), 351-358. Zbl0770.11020

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