The Diophantine equation x 2−(t 2+t)y 2−(4t+2)x+(4t 2+4t)y=0
نویسندگان
چکیده
منابع مشابه
The Diophantine equation f(x) = g(y)
have finitely or infinitely many solutions in rational integers x and y? Due to the classical theorem of Siegel (see Theorem 10.1 below), the finiteness problem for (1), and even for a more general equation F (x, y) = 0 with F (x, y) ∈ Z[x, y], is decidable (). One has to: • decompose the polynomial F (x, y) into Q-irreducible factors; • for those factors which are not Q-reducible, determine th...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 2009
ISSN: 1139-1138,1988-2807
DOI: 10.1007/s13163-009-0009-8