@article{bwmeta1.element.bwnjournal-article-aav91i1p85bwm, author = {Zhenfu Cao}, title = {A note on the Diophantine equation $a^x + b^y = c^z$ }, journal = {Acta Arithmetica}, volume = {89}, year = {1999}, pages = {85-93}, zbl = {0946.11009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav91i1p85bwm} }
Zhenfu Cao. A note on the Diophantine equation $a^x + b^y = c^z$ . Acta Arithmetica, Tome 89 (1999) pp. 85-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav91i1p85bwm/
[000] [1] Z. F. Cao, On the Diophantine equation , I, Chinese Sci. Bull. 32 (1987), 1519-1521; II, ibid. 33 (1988), 237 (in Chinese). | Zbl 0634.10018
[001] [2] Z. F. Cao, On the Diophantine equation , J. Harbin Inst. Tech. 23 (1991), 108-111. | Zbl 0971.11512
[002] [3] Z. F. Cao, Divisibility of the class numbers of imaginary quadratic fields, Acta Math. Sinica 37 (1994), 50-56 (in Chinese). | Zbl 0791.11057
[003] [4] Z. F. Cao, On Jeśmanowicz' conjecture, Res. Rep. Harbin Inst. Tech. 253 (1982), 1-14.
[004] [5] Z. F. Cao, Introduction to Diophantine equations, Harbin Inst. Tech. Press, 1989 (in Chinese). | Zbl 0849.11029
[005] [6] Y. D. Guo and M. H. Le, A note on Jeśmanowicz' conjecture concerning Pythagorean numbers, Comment. Math. Univ. St. Paul. 44 (1995), 225-228. | Zbl 0849.11036
[006] [7] T. Hadano, On the Diophantine equation , Math. J. Okayama Univ. 19 (1976/77), 25-29. | Zbl 0349.10012
[007] [8] M. H. Le, On Jeśmanowicz' conjecture concerning Pythagorean numbers, Proc. Japan Acad. Ser. A Math. Sci. 72 (1996), 97-98. | Zbl 0876.11013
[008] [9] M. H. Le, A note on Jeśmanowicz' conjecture, Colloq. Math. 69 (1995), 47-51. | Zbl 0835.11015
[009] [10] R. Lidl and H. Niederreiter, Finite Fields, Addison-Wesley, Reading, MA, 1983.
[010] [11] A. Mąkowski, On the diophantine equation , Nord. Mat. Tidskr. 7 (1959), 81-96. | Zbl 0084.27104
[011] [12] L. J. Mordell, Diophantine Equations, Academic Press, 1969.
[012] [13] T. Nagell, Sur une classe d'équations exponentielles, Ark. Mat. 3 (1958), 569-582. | Zbl 0083.03902
[013] [14] M. Perisastri, A note on the equation , Math. Student 37 (1969), 211-212.
[014] [15] R. Scott, On the equations and , J. Number Theory 44 (1993), 153-165. | Zbl 0786.11020
[015] [16] Q. Sun and X. M. Zhou, On the Diophantine equation , Chinese Sci. Bull. 29 (1984), 61 (in Chinese).
[016] [17] K. Takakuwa, On a conjecture on Pythagorean numbers, III, Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 9, 345-349. | Zbl 0822.11025
[017] [18] K. Takakuwa and Y. Asaeda, On a conjecture on Pythagorean numbers, Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 7, 252-255. | Zbl 0796.11009
[018] [19] K. Takakuwa and Y. Asaeda, On a conjecture on Pythagorean numbers, II, Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 8, 287-290.
[019] [20] N. Terai, The Diophantine equation , Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), 22-26. | Zbl 0812.11024
[020] [21] N. Terai, The Diophantine equation , II, Proc. Japan Acad. Ser. A Math. Sci. 71 (1995), 109-110. | Zbl 0842.11009
[021] [22] N. Terai, The Diophantine equation , III, Proc. Japan Acad. Ser. A Math. Sci. 72 (1996), 20-22. | Zbl 0858.11017
[022] [23] S. Uchiyama, On the Diophantine equation , Math. J. Okayama Univ. 19 (1976/77), 31-38. | Zbl 0349.10013
[023] [24] X. Z. Yang, On the Diophantine equation , Sichuan Daxue Xuebao 4 (1985), 151-158 (in Chinese). | Zbl 0594.10009