# On the diophantine equation ${x}^{2}+{b}^{y}={c}^{z}$

Acta Arithmetica (1998)

- Volume: 84, Issue: 2, page 145-147
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topPingzhi Yuan, and Jiabao Wang. "On the diophantine equation $x^2 + b^y = c^z$." Acta Arithmetica 84.2 (1998): 145-147. <http://eudml.org/doc/207139>.

@article{PingzhiYuan1998,

author = {Pingzhi Yuan, Jiabao Wang},

journal = {Acta Arithmetica},

keywords = {exponential diophantine equations; Terai's conjecture},

language = {eng},

number = {2},

pages = {145-147},

title = {On the diophantine equation $x^2 + b^y = c^z$},

url = {http://eudml.org/doc/207139},

volume = {84},

year = {1998},

}

TY - JOUR

AU - Pingzhi Yuan

AU - Jiabao Wang

TI - On the diophantine equation $x^2 + b^y = c^z$

JO - Acta Arithmetica

PY - 1998

VL - 84

IS - 2

SP - 145

EP - 147

LA - eng

KW - exponential diophantine equations; Terai's conjecture

UR - http://eudml.org/doc/207139

ER -

## References

top- [1] L. K. Hua, Introduction to Number Theory, Springer, Berlin, 1982.
- [2] M. Le, A note on the diophantine equation ${x}^{2}+{b}^{y}={c}^{z}$, Acta Arith. 71 (1995), 253-257.
- [3] N. Terai, The Diophantine equation ${x}^{2}+{q}^{m}={p}^{n}$, Acta Arith. 63 (1993), 351-358. Zbl0770.11020

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