On the Diophantine equation F(x)=G(y)
Sz. Tengely (2003)
Acta Arithmetica
Similarity:
Sz. Tengely (2003)
Acta Arithmetica
Similarity:
Ernst, Bruno (1996)
General Mathematics
Similarity:
H. Kleiman (1976)
Journal für die reine und angewandte Mathematik
Similarity:
Yang Hai, P. G. Walsh (2010)
Acta Arithmetica
Similarity:
Shin-ichi Katayama, Claude Levesque (2003)
Acta Arithmetica
Similarity:
Alan Filipin (2009)
Acta Arithmetica
Similarity:
Yong Zhang (2016)
Colloquium Mathematicae
Similarity:
Let f ∈ ℚ [X] be a polynomial without multiple roots and with deg(f) ≥ 2. We give conditions for f(X) = AX² + BX + C such that the Diophantine equation f(x)f(y) = f(z)² has infinitely many nontrivial integer solutions and prove that this equation has a rational parametric solution for infinitely many irreducible cubic polynomials. Moreover, we consider f(x)f(y) = f(z)² for quartic polynomials.
W. J. Ellison (1970-1971)
Séminaire de théorie des nombres de Bordeaux
Similarity:
Jianhua Chen (2001)
Acta Arithmetica
Similarity:
Wolfgang M. Schmidt (2012)
Acta Arithmetica
Similarity:
Pingzhi Yuan, Jiagui Luo (2010)
Acta Arithmetica
Similarity:
Pingzhi Yuan (2004)
Acta Arithmetica
Similarity:
Xiaolei Dong, W. C. Shiu, C. I. Chu, Zhenfu Cao (2007)
Acta Arithmetica
Similarity:
S. Akhtari, A. Togbé, P. G. Walsh (2009)
Acta Arithmetica
Similarity:
Katalin Gyarmati (2001)
Acta Arithmetica
Similarity:
E. Herrmann, I. Járási, A. Pethő (2004)
Acta Arithmetica
Similarity:
L. Carlitz (1969)
Acta Arithmetica
Similarity:
Yu. F. Bilu, M. Kulkarni, B. Sury (2004)
Acta Arithmetica
Similarity:
J. H. E. Cohn (2003)
Acta Arithmetica
Similarity: