On the Diophantine equations $(x-1)^3+x^5+(x+1)^3=y^n$ and $(x-1)^5+x^3+(x+1)^5=y^n$

Zhongfeng Zhang

Type: Article

Publication Date: 2017-10-01

Citations: 3

DOI: https://doi.org/10.5486/pmd.2017.7714

View Publication

Locations

Publicationes Mathematicae Debrecen - View

Similar Works

Action	Title	Year	Authors
+	Erratum to the paper: ``On the Diophantine equations $(x-1)^3+x^5+(x+1)^3=y^n$ and $(x-1)^5+x^3+(x+1)^5=y^n$"	2018	Zhongfeng Zhang
+	On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$	2012	Hemar Godinho Diego Marques Alain Togbé
+	On the Diophantine equation $$x^2+3^a41^b=y^n $$	2020	Murat Alan Uğur Zengin
+	On the Diophantine Equation x 6 1 + x 6 2 + x 6 3 = y 6 1 + y 6 2 + y 6 3	1992	Jean-Joël Delorme
+ PDF Chat	On the diophantine equation $α(x^n - 1)/(x - 1) = y^m$	1972	K. Inkeri
+	On the Diophantine equation $$x^2+C=y^n$$	2022	S. G. Rayaguru
+	On the Diophantine equation x 2+5 m =y n	2009	Liqun Tao
+	on the Diophantine equation x(x+1)…(x+n)+1=y2	2000	Nobuhisa Abe
+	On the Diophantine equation $(x+1)^{k}+(x+2)^{k}+\cdots+(lx)^{k}=y^{n}$	2017	Gökhan Soydan
+	On the Diophantine equation $x^2+2^\alpha 3^\beta 5^\gamma 7^\delta =y^n$	2007	István Pink
+	On the Diophantine Equation $(na)^x+(nb)^y=(nc)^z$	2018	Chen Feng-juan
+ PDF Chat	On the Diophantine equation $\| Ax^n -By^n\| = 1$, $n = 5$.	1954	Yngve Domar
+	On the Diophantine Equation x(x+1) ⋯(x+n-1) = y k∗	1940	L. Louise Johnson
+	On the diophantine equation x(x+1)...(x+n) = y2-1	1995	A Yismaw
+	On the Diophantine equation $F_{n-2}^m+F_n^m+F_{n+2}^m=y^p$	2024	Zhongfeng Zhang Alain Togbé
+	On the diophantine equation F $$\left( {\left( {_n^x } \right)} \right) = b\left( {_m^y } \right)$$	2004	Cs. Rakaczki
+	On the Solutions of the Diophantine Equation x^3+y^3+z^3=n	1995	Kenji Koyama
+ PDF Chat	On the diophantine equations $\prod_{0}^k x_i - \sum_{0}^k x_i = n and \sum_{0}^k 1/x_i = a/n$	1973	Carlo Viola
+	On the diophantine equation $x^x y^y = z^z$	1990	James A. Ward
+ PDF Chat	On the diophantine equation $x^2 - p^m = ±y^n$	1997	Yann Bugeaud

Works That Cite This (3)

Action	Title	Year	Authors
+	A note on the Diophantine equation $$(x + a_1)^{r_1} + (x + a_2)^{r_2} + \cdots + (x + a_m)^{r_m} = y^n$$	2019	S. Subburam
+	Power Values of Power Sums: A Survey	2024	Nirvana Coppola Mar Curcó-Iranzo Maleeha Khawaja Vandita Patel Özge Ülkem
+	On perfect powers that are sums of cubes of a nine term arithmetic progression	2024	Nirvana Coppola Mar Curcó-Iranzo Maleeha Khawaja Vandita Patel Özge Ülkem

Works Cited by This (0)

Action	Title	Year	Authors