A note on the Diophantine equation $a^x + b^y = c^z$

• Autorzy: Zhenfu Cao
• Języki publikacji: EN

Słowa kluczowe

EN

exponential Diophantine equation

Kategorie tematyczne

• 11D61: Exponential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 91
• Numer: 1
• Strony: 85-93

Daty

wydano

1999

otrzymano

1998-09-21

poprawiono

1999-05-07

Twórcy

autor

Zhenfu Cao

• Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P.R. China

Bibliografia

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• [2] Z. F. Cao, On the Diophantine equation $ax^2 + by^2 = p^z$, J. Harbin Inst. Tech. 23 (1991), 108-111.
• [3] Z. F. Cao, Divisibility of the class numbers of imaginary quadratic fields, Acta Math. Sinica 37 (1994), 50-56 (in Chinese).
• [4] Z. F. Cao, On Jeśmanowicz' conjecture, Res. Rep. Harbin Inst. Tech. 253 (1982), 1-14.
• [5] Z. F. Cao, Introduction to Diophantine equations, Harbin Inst. Tech. Press, 1989 (in Chinese).
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• [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.
• [20] N. Terai, The Diophantine equation $a^x + b^y = c^z$, Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), 22-26.
• [21] N. Terai, The Diophantine equation $a^x + b^y = c^z$, II, Proc. Japan Acad. Ser. A Math. Sci. 71 (1995), 109-110.
• [22] N. Terai, The Diophantine equation $a^x + b^y = c^z$, III, Proc. Japan Acad. Ser. A Math. Sci. 72 (1996), 20-22.
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